120873733561 has 9 divisors (see below), whose sum is σ = 140611051749. Its totient is φ = 103603971324.

The previous prime is 120873733549. The next prime is 120873733571. The reversal of 120873733561 is 165337378021.

The square root of 120873733561 is 347669.

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

It is not a de Polignac number, because 120873733561 - 2⁵ = 120873733529 is a prime.

It is a super-2 number, since 2×120873733561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120873733571) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2408850 + ... + 2458516.

Almost surely, 2^120873733561 is an apocalyptic number.

120873733561 is the 347669-th square number.

120873733561 is the 173835-th centered octagonal number.

It is an amenable number.

120873733561 is a deficient number, since it is larger than the sum of its proper divisors (19737318188).

120873733561 is an frugal number, since it uses more digits than its factorization.

120873733561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99348 (or 49674 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 120873733561 in words is "one hundred twenty billion, eight hundred seventy-three million, seven hundred thirty-three thousand, five hundred sixty-one".