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12312827520 = 273578571069
BaseRepresentation
bin10110111011110011…
…01101011010000000
31011210002202110000220
423131321231122000
5200204040440040
65353442343040
7614060210220
oct133571553200
934702673026
1012312827520
1152492a7614
12247765aa80
131212c04176
1484b3b0080
154c0e652d0
hex2dde6d680

12312827520 has 256 divisors, whose sum is σ = 44948217600. Its totient is φ = 2808446976.

The previous prime is 12312827489. The next prime is 12312827533. The reversal of 12312827520 is 2572821321.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11517546 + ... + 11518614.

It is an arithmetic number, because the mean of its divisors is an integer number (175578975).

Almost surely, 212312827520 is an apocalyptic number.

12312827520 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 12312827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22474108800).

12312827520 is an abundant number, since it is smaller than the sum of its proper divisors (32635390080).

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

12312827520 is a wasteful number, since it uses less digits than its factorization.

12312827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 12312827520 in words is "twelve billion, three hundred twelve million, eight hundred twenty-seven thousand, five hundred twenty".