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121202424240 = 24351957146549
BaseRepresentation
bin111000011100000111…
…0100011100110110000
3102120211210202002110120
41300320032203212300
53441210310033430
6131402444330240
711520336415302
oct1607016434660
9376753662416
10121202424240
1147446677267
121b5a6543980
13b57734a0c1
145c1ad07972
15324581e610
hex1c383a39b0

121202424240 has 160 divisors (see below), whose sum is σ = 396203808000. Its totient is φ = 30565278720.

The previous prime is 121202424223. The next prime is 121202424271. The reversal of 121202424240 is 42424202121.

It is a happy number.

121202424240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121202424240.

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 31 ways as a sum of consecutive naturals, for example, 2580486 + ... + 2627034.

It is an arithmetic number, because the mean of its divisors is an integer number (2476273800).

Almost surely, 2121202424240 is an apocalyptic number.

121202424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121202424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198101904000).

121202424240 is an abundant number, since it is smaller than the sum of its proper divisors (275001383760).

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

121202424240 is a wasteful number, since it uses less digits than its factorization.

121202424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47155 (or 47149 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 121202424240 its reverse (42424202121), we get a palindrome (163626626361).

The spelling of 121202424240 in words is "one hundred twenty-one billion, two hundred two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 571 760 912 1140 1142 1520 1713 2280 2284 2855 3426 4560 4568 5710 6852 8565 9136 10849 11420 13704 17130 21698 22840 27408 32547 34260 43396 45680 46549 54245 65094 68520 86792 93098 108490 130188 137040 139647 162735 173584 186196 216980 232745 260376 279294 325470 372392 433960 465490 520752 558588 650940 698235 744784 867920 884431 930980 1117176 1301880 1396470 1768862 1861960 2234352 2603760 2653293 2792940 3537724 3723920 4422155 5306586 5585880 7075448 8844310 10613172 11171760 13266465 14150896 17688620 21226344 26532930 26579479 35377240 42452688 53065860 53158958 70754480 79738437 106131720 106317916 132897395 159476874 212263440 212635832 265794790 318953748 398692185 425271664 505010101 531589580 637907496 797384370 1010020202 1063179160 1275814992 1515030303 1594768740 2020040404 2126358320 2525050505 3030060606 3189537480 4040080808 5050101010 6060121212 6379074960 7575151515 8080161616 10100202020 12120242424 15150303030 20200404040 24240484848 30300606060 40400808080 60601212120 121202424240