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12135988128 = 2531131370723
BaseRepresentation
bin10110100110101110…
…00111101110100000
31011022210000001222210
423103113013232200
5144323303110003
65324124202120
7606512124405
oct132327075640
934283001883
1012135988128
1151684a3560
122428399340
1311b5398a84
14831ada2ac
154b0683503
hex2d35c7ba0

12135988128 has 96 divisors (see below), whose sum is σ = 35874220032. Its totient is φ = 3558931200.

The previous prime is 12135988103. The next prime is 12135988133. The reversal of 12135988128 is 82188953121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152626 + ... + 218097.

It is an arithmetic number, because the mean of its divisors is an integer number (373689792).

Almost surely, 212135988128 is an apocalyptic number.

It is an amenable number.

12135988128 is an abundant number, since it is smaller than the sum of its proper divisors (23738231904).

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

12135988128 is a wasteful number, since it uses less digits than its factorization.

12135988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370778 (or 370770 counting only the distinct ones).

The product of its digits is 276480, while the sum is 48.

The spelling of 12135988128 in words is "twelve billion, one hundred thirty-five million, nine hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 370723 741446 1112169 1482892 2224338 2965784 4077953 4448676 5931568 8155906 8897352 11492413 11863136 12233859 16311812 17794704 22984826 24467718 32623624 34477239 35589408 45969652 48935436 65247248 68954478 91939304 97870872 126416543 130494496 137908956 183878608 195741744 252833086 275817912 367757216 379249629 391483488 505666172 551635824 758499258 1011332344 1103271648 1516998516 2022664688 3033997032 4045329376 6067994064 12135988128