221433125573120 has 40 divisors (see below), whose sum is σ = 530920517493564. Its totient is φ = 88573250228224.

The previous prime is 221433125573117. The next prime is 221433125573141. The reversal of 221433125573120 is 21375521334122.

It can be written as a sum of positive squares in 2 ways, for example, as 209154997444864 + 12278128128256 = 14462192^2 + 3504016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×221433125573120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43248654779 + ... + 43248659898.

Almost surely, 2^{221433125573120} is an apocalyptic number.

221433125573120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221433125573120 is an abundant number, since it is smaller than the sum of its proper divisors (309487391920444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221433125573120 is an frugal number, since it uses more digits than its factorization.

221433125573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86497314700 (or 86497314684 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 221433125573120 in words is "two hundred twenty-one trillion, four hundred thirty-three billion, one hundred twenty-five million, five hundred seventy-three thousand, one hundred twenty".