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12899643120 = 24335713293173
BaseRepresentation
bin11000000001110000…
…01110111011110000
31020021222221202201000
430000320032323300
5202404302034440
65532004042000
7634444104660
oct140070167360
936258852630
1012899643120
11551a56a891
122600093300
1312a7664930
148a52c41a0
1550772b730
hex300e0eef0

12899643120 has 1280 divisors, whose sum is σ = 59196211200. Its totient is φ = 2508226560.

The previous prime is 12899643109. The next prime is 12899643137. The reversal of 12899643120 is 2134699821.

12899643120 is a `hidden beast` number, since 128 + 9 + 96 + 431 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 176707404 + ... + 176707476.

It is an arithmetic number, because the mean of its divisors is an integer number (46247040).

Almost surely, 212899643120 is an apocalyptic number.

12899643120 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 12899643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29598105600).

12899643120 is an abundant number, since it is smaller than the sum of its proper divisors (46296568080).

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

12899643120 is a wasteful number, since it uses less digits than its factorization.

12899643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12899643120 in words is "twelve billion, eight hundred ninety-nine million, six hundred forty-three thousand, one hundred twenty".