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12122735157 = 351310933511
BaseRepresentation
bin10110100101001001…
…00100001000110101
31011021212001202100000
423102210210020311
5144311410011112
65322532141513
7606261356121
oct132244441065
934255052300
1012122735157
115160a71395
122423a67899
1311b2708690
1483004a581
154ae4167dc
hex2d2924235

12122735157 has 48 divisors (see below), whose sum is σ = 19579484288. Its totient is φ = 7451196480.

The previous prime is 12122735081. The next prime is 12122735161. The reversal of 12122735157 is 75153722121.

12122735157 is a `hidden beast` number, since 12 + 122 + 7 + 3 + 515 + 7 = 666.

It is a Wieferich number.

It is a de Polignac number, because none of the positive numbers 2k-12122735157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122733157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3451032 + ... + 3454542.

Almost surely, 212122735157 is an apocalyptic number.

It is an amenable number.

12122735157 is a deficient number, since it is larger than the sum of its proper divisors (7456749131).

12122735157 is a wasteful number, since it uses less digits than its factorization.

12122735157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4620 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The spelling of 12122735157 in words is "twelve billion, one hundred twenty-two million, seven hundred thirty-five thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 1093 3159 3279 3511 9837 10533 14209 29511 31599 42627 45643 88533 94797 127881 136929 265599 284391 383643 410787 853173 1150929 1232361 3452787 3697083 3837523 11091249 11512569 34537707 49887799 103613121 149663397 310839363 448990191 932518089 1346970573 4040911719 12122735157