22222212112000 has 256 divisors, whose sum is σ = 57087337282560. Its totient is φ = 8593835520000.

The previous prime is 22222212111977. The next prime is 22222212112043. The reversal of 22222212112000 is 21121222222.

It is a super-2 number, since 2×22222212112000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526234887 + ... + 526277113.

It is an arithmetic number, because the mean of its divisors is an integer number (222997411260).

Almost surely, 2^{22222212112000} is an apocalyptic number.

22222212112000 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 22222212112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28543668641280).

22222212112000 is an abundant number, since it is smaller than the sum of its proper divisors (34865125170560).

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

22222212112000 is a wasteful number, since it uses less digits than its factorization.

22222212112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43348 (or 43326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22222212112000 its reverse (21121222222), we get a palindrome (22243333334222).

The spelling of 22222212112000 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twelve thousand".