125345213120120 has 384 divisors, whose sum is σ = 343111000680000. Its totient is φ = 41038581104640.

The previous prime is 125345213120087. The next prime is 125345213120129. The reversal of 125345213120120 is 21021312543521.

It is a super-2 number, since 2×125345213120120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125345213120129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9367395830 + ... + 9367409210.

Almost surely, 2^{125345213120120} is an apocalyptic number.

125345213120120 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 125345213120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171555500340000).

125345213120120 is an abundant number, since it is smaller than the sum of its proper divisors (217765787559880).

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

125345213120120 is a wasteful number, since it uses less digits than its factorization.

125345213120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15231 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 125345213120120 its reverse (21021312543521), we get a palindrome (146366525663641).

The spelling of 125345213120120 in words is "one hundred twenty-five trillion, three hundred forty-five billion, two hundred thirteen million, one hundred twenty thousand, one hundred twenty".