122765443641 has 63 divisors (see below), whose sum is σ = 194546253909. Its totient is φ = 77422546872.

The previous prime is 122765443627. The next prime is 122765443651. The reversal of 122765443641 is 146344567221.

The square root of 122765443641 is 350379.

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

122765443641 is a `hidden beast` number, since 1 + 2 + 2 + 76 + 544 + 36 + 4 + 1 = 666.

It is not a de Polignac number, because 122765443641 - 2³⁵ = 88405705273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122765443601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 179744086 + ... + 179744768.

Almost surely, 2^122765443641 is an apocalyptic number.

122765443641 is the 350379-th square number.

122765443641 is the 175190-th centered octagonal number.

It is an amenable number.

122765443641 is a deficient number, since it is larger than the sum of its proper divisors (71780810268).

122765443641 is an frugal number, since it uses more digits than its factorization.

122765443641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 705 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 122765443641 in words is "one hundred twenty-two billion, seven hundred sixty-five million, four hundred forty-three thousand, six hundred forty-one".