120010250296561 has 27 divisors (see below), whose sum is σ = 127883226355297. Its totient is φ = 112599039449600.

The previous prime is 120010250296399. The next prime is 120010250296597. The reversal of 120010250296561 is 165692052010021.

The square root of 120010250296561 is 10954919.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82876534359025 + 37133715937536 = 9103655^2 + 6093744^2 .

It is not a de Polignac number, because 120010250296561 - 2¹¹ = 120010250294513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120010250296861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74679682020 + ... + 74679683626.

Almost surely, 2^{120010250296561} is an apocalyptic number.

120010250296561 is the 10954919-th square number.

120010250296561 is the 5477460-th centered octagonal number.

It is an amenable number.

120010250296561 is a deficient number, since it is larger than the sum of its proper divisors (7872976058736).

120010250296561 is an frugal number, since it uses more digits than its factorization.

120010250296561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 120010250296561 in words is "one hundred twenty trillion, ten billion, two hundred fifty million, two hundred ninety-six thousand, five hundred sixty-one".