125969071320 has 448 divisors, whose sum is σ = 442570564800. Its totient is φ = 32215034880.

The previous prime is 125969071309. The next prime is 125969071351. The reversal of 125969071320 is 23170969521.

It is a happy number.

125969071320 is a `hidden beast` number, since 1 + 259 + 6 + 9 + 0 + 71 + 320 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 153060429 + ... + 153061251.

It is an arithmetic number, because the mean of its divisors is an integer number (987880725).

Almost surely, 2^125969071320 is an apocalyptic number.

125969071320 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 125969071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221285282400).

125969071320 is an abundant number, since it is smaller than the sum of its proper divisors (316601493480).

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

125969071320 is a wasteful number, since it uses less digits than its factorization.

125969071320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 125969071320 in words is "one hundred twenty-five billion, nine hundred sixty-nine million, seventy-one thousand, three hundred twenty".