120971520 has 108 divisors (see below), whose sum is σ = 418588716. Its totient is φ = 32256000.

The previous prime is 120971519. The next prime is 120971527. The reversal of 120971520 is 25179021.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 81432576 = 6288^2 + 9024^2 .

It is a super-2 number, since 2×120971520² = 29268217302220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120971527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6270 + ... + 16770.

Almost surely, 2^120971520 is an apocalyptic number.

120971520 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 120971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209294358).

120971520 is an abundant number, since it is smaller than the sum of its proper divisors (297617196).

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

120971520 is a wasteful number, since it uses less digits than its factorization.

120971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10528 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 120971520 is about 10998.7053783616. The cubic root of 120971520 is about 494.5699356131.

The spelling of 120971520 in words is "one hundred twenty million, nine hundred seventy-one thousand, five hundred twenty".