22221120132000 has 144 divisors (see below), whose sum is σ = 78862755476232. Its totient is φ = 5925632025600.

The previous prime is 22221120131887. The next prime is 22221120132073. The reversal of 22221120132000 is 23102112222.

22221120132000 is a `hidden beast` number, since 2 + 2 + 221 + 120 + 1 + 320 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9973444021776 + 12247676110224 = 3158076^2 + 3499668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308590669 + ... + 308662668.

Almost surely, 2^{22221120132000} is an apocalyptic number.

22221120132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221120132000 is an abundant number, since it is smaller than the sum of its proper divisors (56641635344232).

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

22221120132000 is a wasteful number, since it uses less digits than its factorization.

22221120132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617253368 (or 617253347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22221120132000 its reverse (23102112222), we get a palindrome (22244222244222).

The spelling of 22221120132000 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, one hundred thirty-two thousand".