120427953756 has 96 divisors (see below), whose sum is σ = 308950849536. Its totient is φ = 36207864000.

The previous prime is 120427953719. The next prime is 120427953761. The reversal of 120427953756 is 657359724021.

It is a junction number, because it is equal to n+sod(n) for n = 120427953699 and 120427953708.

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, 9212481 + ... + 9225543.

It is an arithmetic number, because the mean of its divisors is an integer number (3218238016).

Almost surely, 2^120427953756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120427953756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154475424768).

120427953756 is an abundant number, since it is smaller than the sum of its proper divisors (188522895780).

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

120427953756 is a wasteful number, since it uses less digits than its factorization.

120427953756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13623 (or 13621 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 120427953756 in words is "one hundred twenty billion, four hundred twenty-seven million, nine hundred fifty-three thousand, seven hundred fifty-six".