221123332012320 has 72 divisors (see below), whose sum is σ = 754583370496956. Its totient is φ = 58966221869568.

The previous prime is 221123332012291. The next prime is 221123332012333. The reversal of 221123332012320 is 23210233321122.

221123332012320 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 2 + 3 + 3 + 320 + 12 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207008673737616 + 14114658274704 = 14387796^2 + 3756948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76778933287 + ... + 76778936166.

Almost surely, 2^{221123332012320} is an apocalyptic number.

221123332012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221123332012320 is an abundant number, since it is smaller than the sum of its proper divisors (533460038484636).

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

221123332012320 is a wasteful number, since it uses less digits than its factorization.

221123332012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153557869474 (or 153557869463 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221123332012320 its reverse (23210233321122), we get a palindrome (244333565333442).

The spelling of 221123332012320 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, three hundred thirty-two million, twelve thousand, three hundred twenty".