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121557713640 = 233511325328309
BaseRepresentation
bin111000100110101100…
…1111000001011101000
3102121202120021122220020
41301031121320023220
53442422233314030
6131502015400440
711532212342406
oct1611531701350
9377676248806
10121557713640
1147609184470
121b685523120
13b602b35a0c
145c52190476
153266b00510
hex1c4d6782e8

121557713640 has 128 divisors (see below), whose sum is σ = 397961596800. Its totient is φ = 29458437120.

The previous prime is 121557713579. The next prime is 121557713663. The reversal of 121557713640 is 46317755121.

It is a junction number, because it is equal to n+sod(n) for n = 121557713592 and 121557713601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4279806 + ... + 4308114.

It is an arithmetic number, because the mean of its divisors is an integer number (3109074975).

Almost surely, 2121557713640 is an apocalyptic number.

121557713640 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 121557713640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198980798400).

121557713640 is an abundant number, since it is smaller than the sum of its proper divisors (276403883160).

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

121557713640 is a wasteful number, since it uses less digits than its factorization.

121557713640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31587 (or 31583 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 121557713640 in words is "one hundred twenty-one billion, five hundred fifty-seven million, seven hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3253 6506 9759 13012 16265 19518 26024 28309 32530 35783 39036 48795 56618 65060 71566 78072 84927 97590 107349 113236 130120 141545 143132 169854 178915 195180 214698 226472 283090 286264 311399 339708 357830 390360 424635 429396 536745 566180 622798 679416 715660 849270 858792 934197 1073490 1132360 1245596 1431320 1556995 1698540 1868394 2146980 2491192 3113990 3397080 3736788 4293960 4670985 6227980 7473576 9341970 12455960 18683940 37367880 92089177 184178354 276267531 368356708 460445885 552535062 736713416 920891770 1012980947 1105070124 1381337655 1841783540 2025961894 2210140248 2762675310 3038942841 3683567080 4051923788 5064904735 5525350620 6077885682 8103847576 10129809470 11050701240 12155771364 15194714205 20259618940 24311542728 30389428410 40519237880 60778856820 121557713640