22221120021120 has 96 divisors (see below), whose sum is σ = 76732305092820. Its totient is φ = 5925632004096.

The previous prime is 22221120021103. The next prime is 22221120021181. The reversal of 22221120021120 is 2112002112222.

It is a happy number.

22221120021120 is a `hidden beast` number, since 2 + 22 + 211 + 200 + 211 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20258856968256 + 1962263052864 = 4500984^2 + 1400808^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 22221120021093 and 22221120021102.

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 11 ways as a sum of consecutive naturals, for example, 1928910909 + ... + 1928922428.

Almost surely, 2^{22221120021120} is an apocalyptic number.

22221120021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221120021120 is an abundant number, since it is smaller than the sum of its proper divisors (54511185071700).

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

22221120021120 is a wasteful number, since it uses less digits than its factorization.

22221120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857833362 (or 3857833347 counting only the distinct ones).

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

Adding to 22221120021120 its reverse (2112002112222), we get a palindrome (24333122133342).

The spelling of 22221120021120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty million, twenty-one thousand, one hundred twenty".