120275768954961 has 15 divisors (see below), whose sum is σ = 179671357859961. Its totient is φ = 80183780167788.

The previous prime is 120275768954921. The next prime is 120275768954983. The reversal of 120275768954961 is 169459867572021.

The square root of 120275768954961 is 10967031.

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

120275768954961 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 7 + 5 + 76 + 8 + 9 + 549 + 6 + 1 = 666.

It is not a de Polignac number, because 120275768954961 - 2¹³ = 120275768946769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120275768954961.

It is not an unprimeable number, because it can be changed into a prime (120275768954921) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 98094000 + ... + 99312558.

Almost surely, 2^{120275768954961} is an apocalyptic number.

120275768954961 is the 10967031-st square number.

120275768954961 is the 5483516-th centered octagonal number.

It is an amenable number.

120275768954961 is a deficient number, since it is larger than the sum of its proper divisors (59395588905000).

120275768954961 is an frugal number, since it uses more digits than its factorization.

120275768954961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437130 (or 1218562 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 120275768954961 in words is "one hundred twenty trillion, two hundred seventy-five billion, seven hundred sixty-eight million, nine hundred fifty-four thousand, nine hundred sixty-one".