121274737775361 has 135 divisors (see below), whose sum is σ = 194056559536147. Its totient is φ = 75462805802880.

The previous prime is 121274737775353. The next prime is 121274737775371. The reversal of 121274737775361 is 163577737472121.

The square root of 121274737775361 is 11012481.

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

121274737775361 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 74 + 73 + 77 + 75 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94418048441025 + 26856689334336 = 9716895^2 + 5182344^2 .

It is not a de Polignac number, because 121274737775361 - 2³ = 121274737775353 is a prime.

It is a super-2 number, since 2×121274737775361² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121274737775371) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 281379901816 + ... + 281379902246.

Almost surely, 2^{121274737775361} is an apocalyptic number.

121274737775361 is the 11012481-st square number.

121274737775361 is the 5506241-st centered octagonal number.

It is an amenable number.

121274737775361 is a deficient number, since it is larger than the sum of its proper divisors (72781821760786).

121274737775361 is an frugal number, since it uses more digits than its factorization.

121274737775361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 618 counting only the distinct ones).

The product of its digits is 72606240, while the sum is 63.

The spelling of 121274737775361 in words is "one hundred twenty-one trillion, two hundred seventy-four billion, seven hundred thirty-seven million, seven hundred seventy-five thousand, three hundred sixty-one".