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12370811400 = 23335212311861
BaseRepresentation
bin10111000010101101…
…11001101000001000
31011221010212022222000
423201112321220020
5200313411431100
65403313231000
7615363106353
oct134126715010
934833768860
1012370811400
115279000782
122492b62460
131221c2655c
14854d8529a
154c60ba900
hex2e15b9a08

12370811400 has 192 divisors, whose sum is σ = 42668102400. Its totient is φ = 3294432000.

The previous prime is 12370811333. The next prime is 12370811417. The reversal of 12370811400 is 411807321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6646470 + ... + 6648330.

It is an arithmetic number, because the mean of its divisors is an integer number (222229700).

Almost surely, 212370811400 is an apocalyptic number.

12370811400 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 12370811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21334051200).

12370811400 is an abundant number, since it is smaller than the sum of its proper divisors (30297291000).

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

12370811400 is a wasteful number, since it uses less digits than its factorization.

12370811400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12370811400 in words is "twelve billion, three hundred seventy million, eight hundred eleven thousand, four hundred".