12375763200 has 270 divisors, whose sum is σ = 45760752114. Its totient is φ = 3300065280.

The previous prime is 12375763189. The next prime is 12375763229. The reversal of 12375763200 is 236757321.

12375763200 is a `hidden beast` number, since 12 + 3 + 7 + 5 + 7 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17438976 + 12358324224 = 4176^2 + 111168^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 506464 + ... + 530336.

Almost surely, 2^12375763200 is an apocalyptic number.

12375763200 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 12375763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22880376057).

12375763200 is an abundant number, since it is smaller than the sum of its proper divisors (33384988914).

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

12375763200 is an equidigital number, since it uses as much as digits as its factorization.

12375763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23911 (or 23883 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 12375763200 in words is "twelve billion, three hundred seventy-five million, seven hundred sixty-three thousand, two hundred".