125121374784 has 224 divisors, whose sum is σ = 420711782400. Its totient is φ = 35720870400.

The previous prime is 125121374761. The next prime is 125121374803. The reversal of 125121374784 is 487473121521.

It is a happy number.

125121374784 is a `hidden beast` number, since 1 + 2 + 512 + 13 + 7 + 47 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×125121374784⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19096309 + ... + 19102859.

It is an arithmetic number, because the mean of its divisors is an integer number (1878177600).

Almost surely, 2^125121374784 is an apocalyptic number.

125121374784 is a gapful number since it is divisible by the number (14) 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 125121374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210355891200).

125121374784 is an abundant number, since it is smaller than the sum of its proper divisors (295590407616).

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

125121374784 is a wasteful number, since it uses less digits than its factorization.

125121374784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8142 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 125121374784 in words is "one hundred twenty-five billion, one hundred twenty-one million, three hundred seventy-four thousand, seven hundred eighty-four".