22000121112112 has 160 divisors (see below), whose sum is σ = 50435320057920. Its totient is φ = 9165042216960.

The previous prime is 22000121112103. The next prime is 22000121112161. The reversal of 22000121112112 is 21121112100022.

It is a super-2 number, since 2×22000121112112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180272298 + ... + 180394294.

It is an arithmetic number, because the mean of its divisors is an integer number (315220750362).

Almost surely, 2^{22000121112112} is an apocalyptic number.

22000121112112 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 22000121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25217660028960).

22000121112112 is an abundant number, since it is smaller than the sum of its proper divisors (28435198945808).

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

22000121112112 is a wasteful number, since it uses less digits than its factorization.

22000121112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122591 (or 122585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22000121112112 its reverse (21121112100022), we get a palindrome (43121233212134).

The spelling of 22000121112112 in words is "twenty-two trillion, one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".