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121221320213232 = 24331723717659611
BaseRepresentation
bin11011100100000000001001…
…101110110000001011110000
3120220012122102020020012021000
4123210000021232300023300
5111342042230433310412
61105452150011402000
734350644214542241
oct3344001156601360
9526178366205230
10121221320213232
1135696745033038
1211719606a53300
135284176a83765
1421d1200d42cc8
15e033a0e414dc
hex6e4009bb02f0

121221320213232 has 160 divisors (see below), whose sum is σ = 384435900956160. Its totient is φ = 36376730311680.

The previous prime is 121221320213183. The next prime is 121221320213281. The reversal of 121221320213232 is 232312023122121.

121221320213232 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 213 + 2 + 0 + 213 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (121221320213183) and next prime (121221320213281).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121221320213196 and 121221320213205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358660894 + ... + 358998717.

It is an arithmetic number, because the mean of its divisors is an integer number (2402724380976).

Almost surely, 2121221320213232 is an apocalyptic number.

121221320213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121221320213232 is an abundant number, since it is smaller than the sum of its proper divisors (263214580742928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121221320213232 is a wasteful number, since it uses less digits than its factorization.

121221320213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717659668 (or 717659656 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121221320213232 its reverse (232312023122121), we get a palindrome (353533343335353).

The spelling of 121221320213232 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, three hundred twenty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 552 612 621 782 816 828 918 1104 1173 1224 1242 1564 1656 1836 2346 2448 2484 3128 3312 3519 3672 4692 4968 6256 7038 7344 9384 9936 10557 14076 18768 21114 28152 42228 56304 84456 168912 717659611 1435319222 2152978833 2870638444 4305957666 5741276888 6458936499 8611915332 11482553776 12200213387 12917872998 16506171053 17223830664 19376809497 24400426774 25835745996 33012342106 34447661328 36600640161 38753618994 48800853548 49518513159 51671491992 66024684212 73201280322 77507237988 97601707096 99037026318 103342983984 109801920483 132049368424 146402560644 148555539477 155014475976 195203414192 198074052636 219603840966 264098736848 280604907901 292805121288 297111078954 310028951952 329405761449 396148105272 439207681932 445666618431 561209815802 585610242576 594222157908 658811522898 792296210544 841814723703 878415363864 891333236862 1122419631604 1188444315816 1317623045796 1683629447406 1756830727728 1782666473724 2244839263208 2376888631632 2525444171109 2635246091592 3367258894812 3565332947448 4489678526416 5050888342218 5270492183184 6734517789624 7130665894896 7576332513327 10101776684436 13469035579248 15152665026654 20203553368872 30305330053308 40407106737744 60610660106616 121221320213232