125786022120 has 256 divisors, whose sum is σ = 457850880000. Its totient is φ = 30463776000.

The previous prime is 125786022097. The next prime is 125786022133. The reversal of 125786022120 is 21220687521.

It is a happy number.

125786022120 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 8 + 602 + 21 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 13669281 + ... + 13678479.

It is an arithmetic number, because the mean of its divisors is an integer number (1788480000).

Almost surely, 2^125786022120 is an apocalyptic number.

125786022120 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 125786022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228925440000).

125786022120 is an abundant number, since it is smaller than the sum of its proper divisors (332064857880).

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

125786022120 is a wasteful number, since it uses less digits than its factorization.

125786022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10371 counting only the distinct ones).

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

The spelling of 125786022120 in words is "one hundred twenty-five billion, seven hundred eighty-six million, twenty-two thousand, one hundred twenty".