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12211412210304 = 273175335294731
BaseRepresentation
bin1011000110110011000011…
…1000110001001010000000
31121020101210022110010202120
42301230300320301022000
53100032433011212204
641545502331244240
72400150115110456
oct261546070611200
947211708403676
1012211412210304
11398891592956a
1214527a12a9680
136a76ba161608
1430306d5d29d6
151629a820a6d9
hexb1b30e31280

12211412210304 has 128 divisors (see below), whose sum is σ = 34992609094080. Its totient is φ = 3758747566080.

The previous prime is 12211412210171. The next prime is 12211412210329. The reversal of 12211412210304 is 40301221411221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17301382 + ... + 17993349.

Almost surely, 212211412210304 is an apocalyptic number.

It is an amenable number.

12211412210304 is an abundant number, since it is smaller than the sum of its proper divisors (22781196883776).

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

12211412210304 is a wasteful number, since it uses less digits than its factorization.

12211412210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35294818 (or 35294806 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12211412210304 its reverse (40301221411221), we get a palindrome (52512633621525).

The spelling of 12211412210304 in words is "twelve trillion, two hundred eleven billion, four hundred twelve million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 128 136 159 192 204 212 272 318 384 408 424 544 636 816 848 901 1088 1272 1632 1696 1802 2176 2544 2703 3264 3392 3604 5088 5406 6528 6784 7208 10176 10812 14416 20352 21624 28832 43248 57664 86496 115328 172992 345984 35294731 70589462 105884193 141178924 211768386 282357848 423536772 564715696 600010427 847073544 1129431392 1200020854 1694147088 1800031281 1870620743 2258862784 2400041708 3388294176 3600062562 3741241486 4517725568 4800083416 5611862229 6776588352 7200125124 7482482972 9600166832 11223724458 13553176704 14400250248 14964965944 19200333664 22447448916 28800500496 29929931888 31800552631 38400667328 44894897832 57601000992 59859863776 63601105262 76801334656 89789795664 95401657893 115202001984 119719727552 127202210524 179579591328 190803315786 230404003968 239439455104 254404421048 359159182656 381606631572 508808842096 718318365312 763213263144 1017617684192 1526426526288 2035235368384 3052853052576 4070470736768 6105706105152 12211412210304