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12056659920 = 2433543271479
BaseRepresentation
bin10110011101010001…
…00000011111010000
31011010020201210011000
423032220200133100
5144143001104140
65312212022000
7604526630004
oct131650403720
934106653130
1012056659920
115127741058
122405901900
1311a1b123c6
1482536a704
154a8713a30
hex2cea207d0

12056659920 has 320 divisors, whose sum is σ = 42740121600. Its totient is φ = 3122219520.

The previous prime is 12056659883. The next prime is 12056659933. The reversal of 12056659920 is 2995665021.

It is a happy number.

12056659920 is a `hidden beast` number, since 1 + 2 + 0 + 56 + 6 + 599 + 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 63 ways as a sum of consecutive naturals, for example, 25170241 + ... + 25170719.

It is an arithmetic number, because the mean of its divisors is an integer number (133562880).

Almost surely, 212056659920 is an apocalyptic number.

12056659920 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 12056659920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21370060800).

12056659920 is an abundant number, since it is smaller than the sum of its proper divisors (30683461680).

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

12056659920 is a wasteful number, since it uses less digits than its factorization.

12056659920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12056659920 in words is "twelve billion, fifty-six million, six hundred fifty-nine thousand, nine hundred twenty".