22122101313312 has 768 divisors, whose sum is σ = 79230280937472. Its totient is φ = 5218544517120.

The previous prime is 22122101313287. The next prime is 22122101313353. The reversal of 22122101313312 is 21331310122122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3037494823 + ... + 3037502105.

It is an arithmetic number, because the mean of its divisors is an integer number (103164428304).

Almost surely, 2^{22122101313312} is an apocalyptic number.

22122101313312 is a gapful number since it is divisible by the number (22) 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 22122101313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39615140468736).

22122101313312 is an abundant number, since it is smaller than the sum of its proper divisors (57108179624160).

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

22122101313312 is a wasteful number, since it uses less digits than its factorization.

22122101313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 22122101313312 its reverse (21331310122122), we get a palindrome (43453411435434).

The spelling of 22122101313312 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred one million, three hundred thirteen thousand, three hundred twelve".