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12696431120 = 245433690823
BaseRepresentation
bin10111101001100010…
…00010101000010000
31012202211120112020122
423310301002220100
5202000241243440
65455504325412
7626425612112
oct136461025020
935684515218
1012696431120
11542589368a
122564013868
131274524649
148863073b2
154e498a7b5
hex2f4c42a10

12696431120 has 40 divisors (see below), whose sum is σ = 30205703616. Its totient is φ = 4960464768.

The previous prime is 12696431107. The next prime is 12696431179. The reversal of 12696431120 is 2113469621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126964311202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841972 + ... + 1848851.

Almost surely, 212696431120 is an apocalyptic number.

12696431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12696431120 is an abundant number, since it is smaller than the sum of its proper divisors (17509272496).

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

12696431120 is a wasteful number, since it uses less digits than its factorization.

12696431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690879 (or 3690873 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 12696431120 in words is "twelve billion, six hundred ninety-six million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 3690823 7381646 14763292 18454115 29526584 36908230 59053168 73816460 147632920 158705389 295265840 317410778 634821556 793526945 1269643112 1587053890 2539286224 3174107780 6348215560 12696431120