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12308179957920 = 253357211217231229
BaseRepresentation
bin1011001100011011100010…
…1100011011100010100000
31121120122120020001001022000
42303012320230123202200
53103124123032123140
642102144432044000
72410144113306600
oct263067054334240
947518506031260
1012308179957920
113a15962792600
1214694a8693600
136b386c11c282
14307a0d270c00
1516526d7c5a30
hexb31b8b1b8a0

12308179957920 has 3456 divisors, whose sum is σ = 60906991219200. Its totient is φ = 2300570173440.

The previous prime is 12308179957817. The next prime is 12308179957939. The reversal of 12308179957920 is 2975997180321.

12308179957920 is a `hidden beast` number, since 1 + 2 + 30 + 8 + 1 + 7 + 9 + 9 + 579 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10014791866 + ... + 10014793094.

It is an arithmetic number, because the mean of its divisors is an integer number (17623550700).

Almost surely, 212308179957920 is an apocalyptic number.

12308179957920 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 12308179957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30453495609600).

12308179957920 is an abundant number, since it is smaller than the sum of its proper divisors (48598811261280).

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

12308179957920 is a wasteful number, since it uses less digits than its factorization.

12308179957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 12308179957920 in words is "twelve trillion, three hundred eight billion, one hundred seventy-nine million, nine hundred fifty-seven thousand, nine hundred twenty".