120272906736 has 120 divisors (see below), whose sum is σ = 339242433920. Its totient is φ = 39777091200.

The previous prime is 120272906729. The next prime is 120272906779. The reversal of 120272906736 is 637609272021.

It is a junction number, because it is equal to n+sod(n) for n = 120272906691 and 120272906700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10051125 + ... + 10063083.

Almost surely, 2^120272906736 is an apocalyptic number.

120272906736 is a gapful number since it is divisible by the number (16) 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 120272906736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169621216960).

120272906736 is an abundant number, since it is smaller than the sum of its proper divisors (218969527184).

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

120272906736 is a wasteful number, since it uses less digits than its factorization.

120272906736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 120272906736 in words is "one hundred twenty billion, two hundred seventy-two million, nine hundred six thousand, seven hundred thirty-six".