120818112921 has 45 divisors (see below), whose sum is σ = 198436876869. Its totient is φ = 73202243400.

The previous prime is 120818112907. The next prime is 120818112929. The reversal of 120818112921 is 129211818021.

It is a happy number.

The square root of 120818112921 is 347589.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 120818112921 - 2²³ = 120809724313 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120818112929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34409556 + ... + 34413066.

Almost surely, 2^120818112921 is an apocalyptic number.

120818112921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120818112921 is the 347589-th square number.

120818112921 is the 173795-th centered octagonal number.

It is an amenable number.

120818112921 is a deficient number, since it is larger than the sum of its proper divisors (77618763948).

120818112921 is an frugal number, since it uses more digits than its factorization.

120818112921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

Multiplying 120818112921 by its sum of digits (36), we get a square (4349452065156 = 2085534²).

The spelling of 120818112921 in words is "one hundred twenty billion, eight hundred eighteen million, one hundred twelve thousand, nine hundred twenty-one".