22002042004200 has 120 divisors (see below), whose sum is σ = 76416351498630. Its totient is φ = 5867211196800.

The previous prime is 22002042004169. The next prime is 22002042004213. The reversal of 22002042004200 is 240024020022.

22002042004200 is a `hidden beast` number, since 2 + 20 + 0 + 20 + 4 + 200 + 420 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13571369716356 + 8430672287844 = 3683934^2 + 2903562^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 679059171 + ... + 679091570.

Almost surely, 2^{22002042004200} is an apocalyptic number.

22002042004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002042004200 is an abundant number, since it is smaller than the sum of its proper divisors (54414309494430).

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

22002042004200 is a wasteful number, since it uses less digits than its factorization.

22002042004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358150769 (or 1358150751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22002042004200 its reverse (240024020022), we get a palindrome (22242066024222).

The spelling of 22002042004200 in words is "twenty-two trillion, two billion, forty-two million, four thousand, two hundred".