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12520075392 = 273511233743
BaseRepresentation
bin10111010100100000…
…10011000010000000
31012022112201201200000
423222100103002000
5201120114403032
65430204400000
7622154612346
oct135220230200
935275651600
1012520075392
11534528aa50
122514b46000
131246b28446
1486ab1b996
154d4251e7c
hex2ea413080

12520075392 has 768 divisors, whose sum is σ = 44696171520. Its totient is φ = 3448811520.

The previous prime is 12520075387. The next prime is 12520075409. The reversal of 12520075392 is 29357002521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291164523 + ... + 291164565.

It is an arithmetic number, because the mean of its divisors is an integer number (58198140).

Almost surely, 212520075392 is an apocalyptic number.

12520075392 is a gapful number since it is divisible by the number (12) 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 12520075392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348085760).

12520075392 is an abundant number, since it is smaller than the sum of its proper divisors (32176096128).

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

12520075392 is a wasteful number, since it uses less digits than its factorization.

12520075392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 12520075392 in words is "twelve billion, five hundred twenty million, seventy-five thousand, three hundred ninety-two".