112121022222120 has 256 divisors, whose sum is σ = 357470282937600. Its totient is φ = 28035821076480.

The previous prime is 112121022222113. The next prime is 112121022222127. The reversal of 112121022222120 is 21222220121211.

It is an interprime number because it is at equal distance from previous prime (112121022222113) and next prime (112121022222127).

It is a super-2 number, since 2×112121022222120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121022222127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5833853871 + ... + 5833873089.

It is an arithmetic number, because the mean of its divisors is an integer number (1396368292725).

Almost surely, 2^{112121022222120} is an apocalyptic number.

112121022222120 is a gapful number since it is divisible by the number (10) 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 112121022222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178735141468800).

112121022222120 is an abundant number, since it is smaller than the sum of its proper divisors (245349260715480).

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

112121022222120 is a wasteful number, since it uses less digits than its factorization.

112121022222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29708 (or 29704 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 112121022222120 its reverse (21222220121211), we get a palindrome (133343242343331).

The spelling of 112121022222120 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty".