12125786400 has 1152 divisors, whose sum is σ = 55996416000. Its totient is φ = 2463436800.

The previous prime is 12125786383. The next prime is 12125786411. The reversal of 12125786400 is 468752121.

12125786400 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 5 + 7 + 8 + 640 + 0 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60933501 + ... + 60933699.

It is an arithmetic number, because the mean of its divisors is an integer number (48608000).

Almost surely, 2^12125786400 is an apocalyptic number.

12125786400 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 12125786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208000).

12125786400 is an abundant number, since it is smaller than the sum of its proper divisors (43870629600).

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

12125786400 is a wasteful number, since it uses less digits than its factorization.

12125786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12125786400 in words is "twelve billion, one hundred twenty-five million, seven hundred eighty-six thousand, four hundred".