125088883200 has 1200 divisors, whose sum is σ = 503941388544. Its totient is φ = 30523392000.

The previous prime is 125088883193. The next prime is 125088883237. The reversal of 125088883200 is 2388880521.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 828403125 + ... + 828403275.

Almost surely, 2^125088883200 is an apocalyptic number.

125088883200 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 125088883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251970694272).

125088883200 is an abundant number, since it is smaller than the sum of its proper divisors (378852505344).

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

125088883200 is a wasteful number, since it uses less digits than its factorization.

125088883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 125088883200 in words is "one hundred twenty-five billion, eighty-eight million, eight hundred eighty-three thousand, two hundred".