120942344869641 has 135 divisors (see below), whose sum is σ = 187186005730053. Its totient is φ = 77819213384640.

The previous prime is 120942344869631. The next prime is 120942344869657. The reversal of 120942344869641 is 146968443249021.

The square root of 120942344869641 is 10997379.

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

120942344869641 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 4 + 23 + 4 + 486 + 96 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73446871113225 + 47495473756416 = 8570115^2 + 6891696^2 .

It is not a de Polignac number, because 120942344869641 - 2³⁷ = 120804905916169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120942344869631) 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, 668189750571 + ... + 668189750751.

Almost surely, 2^{120942344869641} is an apocalyptic number.

120942344869641 is the 10997379-th square number.

120942344869641 is the 5498690-th centered octagonal number.

It is an amenable number.

120942344869641 is a deficient number, since it is larger than the sum of its proper divisors (66243660860412).

120942344869641 is an frugal number, since it uses more digits than its factorization.

120942344869641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 120942344869641 in words is "one hundred twenty trillion, nine hundred forty-two billion, three hundred forty-four million, eight hundred sixty-nine thousand, six hundred forty-one".