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12315045600 = 2535521113443
BaseRepresentation
bin10110111100000100…
…01010111011100000
31011210020221010200000
423132002022323200
5200210122424400
65354002100000
7614115106014
oct133602127340
934706833600
1012315045600
11524a582040
12247834a600
1312134cc940
1484b7ca544
154c1252600
hex2de08aee0

12315045600 has 864 divisors, whose sum is σ = 53026856064. Its totient is φ = 2749593600.

The previous prime is 12315045581. The next prime is 12315045619. The reversal of 12315045600 is 654051321.

12315045600 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 50 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (12315045581) and next prime (12315045619).

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27798979 + ... + 27799421.

It is an arithmetic number, because the mean of its divisors is an integer number (61373676).

Almost surely, 212315045600 is an apocalyptic number.

12315045600 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 12315045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26513428032).

12315045600 is an abundant number, since it is smaller than the sum of its proper divisors (40711810464).

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

12315045600 is a wasteful number, since it uses less digits than its factorization.

12315045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12315045600 its reverse (654051321), we get a palindrome (12969096921).

The spelling of 12315045600 in words is "twelve billion, three hundred fifteen million, forty-five thousand, six hundred".