22200002121200 has 120 divisors (see below), whose sum is σ = 53891378933376. Its totient is φ = 8787542400000.

The previous prime is 22200002121163. The next prime is 22200002121229. The reversal of 22200002121200 is 212120000222.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 78679574 + ... + 78961226.

Almost surely, 2^{22200002121200} is an apocalyptic number.

22200002121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26945689466688).

22200002121200 is an abundant number, since it is smaller than the sum of its proper divisors (31691376812176).

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

22200002121200 is a wasteful number, since it uses less digits than its factorization.

22200002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283723 (or 283712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22200002121200 its reverse (212120000222), we get a palindrome (22412122121422).

The spelling of 22200002121200 in words is "twenty-two trillion, two hundred billion, two million, one hundred twenty-one thousand, two hundred".