125119249920 has 1080 divisors, whose sum is σ = 533728979784. Its totient is φ = 27005239296.

The previous prime is 125119249903. The next prime is 125119249933. The reversal of 125119249920 is 29942911521.

125119249920 is a `hidden beast` number, since 1 + 2 + 51 + 1 + 92 + 499 + 20 = 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 107 ways as a sum of consecutive naturals, for example, 407554407 + ... + 407554713.

Almost surely, 2^125119249920 is an apocalyptic number.

125119249920 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 125119249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266864489892).

125119249920 is an abundant number, since it is smaller than the sum of its proper divisors (408609729864).

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

125119249920 is a wasteful number, since it uses less digits than its factorization.

125119249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 125119249920 in words is "one hundred twenty-five billion, one hundred nineteen million, two hundred forty-nine thousand, nine hundred twenty".