22100122112000 has 208 divisors, whose sum is σ = 55268132160384. Its totient is φ = 8821944320000.

The previous prime is 22100122111997. The next prime is 22100122112021. The reversal of 22100122112000 is 21122100122.

It is a super-2 number, since 2×22100122112000² (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 15 ways as a sum of consecutive naturals, for example, 251348045 + ... + 251435955.

It is an arithmetic number, because the mean of its divisors is an integer number (265712173848).

Almost surely, 2^{22100122112000} is an apocalyptic number.

22100122112000 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 22100122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27634066080192).

22100122112000 is an abundant number, since it is smaller than the sum of its proper divisors (33168010048384).

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

22100122112000 is an frugal number, since it uses more digits than its factorization.

22100122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88441 (or 88409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22100122112000 its reverse (21122100122), we get a palindrome (22121244212122).

The spelling of 22100122112000 in words is "twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand".