125325222135520 has 192 divisors, whose sum is σ = 326348617436352. Its totient is φ = 45100380160000.

The previous prime is 125325222135511. The next prime is 125325222135571. The reversal of 125325222135520 is 25531222523521.

It is a super-2 number, since 2×125325222135520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 380419512 + ... + 380748808.

It is an arithmetic number, because the mean of its divisors is an integer number (1699732382481).

Almost surely, 2^{125325222135520} is an apocalyptic number.

125325222135520 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 125325222135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163174308718176).

125325222135520 is an abundant number, since it is smaller than the sum of its proper divisors (201023395300832).

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

125325222135520 is a wasteful number, since it uses less digits than its factorization.

125325222135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331565 (or 331557 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 125325222135520 in words is "one hundred twenty-five trillion, three hundred twenty-five billion, two hundred twenty-two million, one hundred thirty-five thousand, five hundred twenty".