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12004299104256 = 21333311978887
BaseRepresentation
bin1010111010101111011111…
…1110111110000000000000
31120111121012020121020011000
42232223313332332000000
53033134301032314011
641310410542452000
72346165502545114
oct256536776760000
946447166536130
1012004299104256
113908aa3990528
12141a61b594000
13691001287464
142d7022951744
1515c3d5579356
hexaeaf7fbe000

12004299104256 has 448 divisors, whose sum is σ = 36903931637760. Its totient is φ = 3852264407040.

The previous prime is 12004299104251. The next prime is 12004299104269. The reversal of 12004299104256 is 65240199240021.

12004299104256 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 4 + 299 + 104 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004299104251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350766245 + ... + 1350775131.

Almost surely, 212004299104256 is an apocalyptic number.

12004299104256 is a gapful number since it is divisible by the number (16) 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 12004299104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451965818880).

12004299104256 is an abundant number, since it is smaller than the sum of its proper divisors (24899632533504).

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

12004299104256 is an equidigital number, since it uses as much as digits as its factorization.

12004299104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12004299104256 in words is "twelve trillion, four billion, two hundred ninety-nine million, one hundred four thousand, two hundred fifty-six".