125343820800 has 1188 divisors, whose sum is σ = 520484974776. Its totient is φ = 28576972800.

The previous prime is 125343820799. The next prime is 125343820831. The reversal of 125343820800 is 8028343521.

125343820800 is a `hidden beast` number, since 12 + 5 + 3 + 438 + 208 + 0 + 0 = 666.

It is a super-2 number, since 2×125343820800² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 914918332 + ... + 914918468.

Almost surely, 2^125343820800 is an apocalyptic number.

125343820800 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 125343820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260242487388).

125343820800 is an abundant number, since it is smaller than the sum of its proper divisors (395141153976).

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

125343820800 is a wasteful number, since it uses less digits than its factorization.

125343820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 125343820800 in words is "one hundred twenty-five billion, three hundred forty-three million, eight hundred twenty thousand, eight hundred".