120361765844401 has 9 divisors (see below), whose sum is σ = 122033955345771. Its totient is φ = 118712184622992.

The previous prime is 120361765844381. The next prime is 120361765844459. The reversal of 120361765844401 is 104448567163021.

The square root of 120361765844401 is 10970951.

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

It can be written as a sum of positive squares in only one way, i.e., 68323201666225 + 52038564178176 = 8265785^2 + 7213776^2 .

It is not a de Polignac number, because 120361765844401 - 2³⁹ = 119812010030513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120361765844101) 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, 800804280 + ... + 800954566.

Almost surely, 2^{120361765844401} is an apocalyptic number.

120361765844401 is the 10970951-st square number.

120361765844401 is the 5485476-th centered octagonal number.

It is an amenable number.

120361765844401 is a deficient number, since it is larger than the sum of its proper divisors (1672189501370).

120361765844401 is an frugal number, since it uses more digits than its factorization.

120361765844401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300720 (or 150360 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 120361765844401 in words is "one hundred twenty trillion, three hundred sixty-one billion, seven hundred sixty-five million, eight hundred forty-four thousand, four hundred one".