120971538 has 24 divisors (see below), whose sum is σ = 264704076. Its totient is φ = 39924000.

The previous prime is 120971533. The next prime is 120971551. The reversal of 120971538 is 835179021.

It can be written as a sum of positive squares in 2 ways, for example, as 92102409 + 28869129 = 9597^2 + 5373^2 .

It is a super-2 number, since 2×120971538² = 29268226012170888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120971533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31453 + ... + 35088.

Almost surely, 2^120971538 is an apocalyptic number.

120971538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

120971538 is an abundant number, since it is smaller than the sum of its proper divisors (143732538).

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

120971538 is a wasteful number, since it uses less digits than its factorization.

120971538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66650 (or 66647 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 120971538 is about 10998.7061966397. The cubic root of 120971538 is about 494.5699601430.

The spelling of 120971538 in words is "one hundred twenty million, nine hundred seventy-one thousand, five hundred thirty-eight".