22165160424121 has 135 divisors (see below), whose sum is σ = 27436711957335. Its totient is φ = 17897890982400.

The previous prime is 22165160424109. The next prime is 22165160424131. The reversal of 22165160424121 is 12142406156122.

The square root of 22165160424121 is 4707989.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21937879396521 + 227281027600 = 4683789^2 + 476740^2 .

It is not a de Polignac number, because 22165160424121 - 2⁵ = 22165160424089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22165160424131) 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, 303632334541 + ... + 303632334613.

Almost surely, 2^{22165160424121} is an apocalyptic number.

22165160424121 is the 4707989-th square number.

22165160424121 is the 2353995-th centered octagonal number.

It is an amenable number.

22165160424121 is a deficient number, since it is larger than the sum of its proper divisors (5271551533214).

22165160424121 is an frugal number, since it uses more digits than its factorization.

22165160424121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

It can be divided in two parts, 22165160 and 424121, that added together give a triangular number (22589281 = T₆₇₂₁).

The spelling of 22165160424121 in words is "twenty-two trillion, one hundred sixty-five billion, one hundred sixty million, four hundred twenty-four thousand, one hundred twenty-one".