22222101405200 has 120 divisors (see below), whose sum is σ = 58478384409480. Its totient is φ = 8077485875200.

The previous prime is 22222101405173. The next prime is 22222101405223. The reversal of 22222101405200 is 250410122222.

It can be written as a sum of positive squares in 12 ways, for example, as 5731484978704 + 16490616426496 = 2394052^2 + 4060864^2 .

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, 56146871 + ... + 56541270.

It is an arithmetic number, because the mean of its divisors is an integer number (487319870079).

Almost surely, 2^{22222101405200} is an apocalyptic number.

22222101405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22222101405200 is an abundant number, since it is smaller than the sum of its proper divisors (36256283004280).

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

22222101405200 is a wasteful number, since it uses less digits than its factorization.

22222101405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112688205 (or 112688194 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 22222101405200 its reverse (250410122222), we get a palindrome (22472511527422).

The spelling of 22222101405200 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred one million, four hundred five thousand, two hundred".