22200221211120 has 120 divisors (see below), whose sum is σ = 78941374879536. Its totient is φ = 5571820222464.

The previous prime is 22200221211067. The next prime is 22200221211143. The reversal of 22200221211120 is 2111212200222.

It is a happy number.

22200221211120 is a `hidden beast` number, since 2 + 220 + 0 + 221 + 211 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22200221211120² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22200221211093 and 22200221211102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906859542 + ... + 906884021.

Almost surely, 2^{22200221211120} is an apocalyptic number.

22200221211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200221211120 is an abundant number, since it is smaller than the sum of its proper divisors (56741153668416).

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

22200221211120 is a wasteful number, since it uses less digits than its factorization.

22200221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813743599 (or 1813743590 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22200221211120 its reverse (2111212200222), we get a palindrome (24311433411342).

The spelling of 22200221211120 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".