112122001221120 has 480 divisors, whose sum is σ = 423678379348224. Its totient is φ = 27176763801600.

The previous prime is 112122001221119. The next prime is 112122001221151. The reversal of 112122001221120 is 21122100221211.

112122001221120 is a `hidden beast` number, since 1 + 121 + 2 + 200 + 1 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×112122001221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112122001221093 and 112122001221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766698509 + ... + 1766761971.

Almost surely, 2^{112122001221120} is an apocalyptic number.

112122001221120 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 112122001221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211839189674112).

112122001221120 is an abundant number, since it is smaller than the sum of its proper divisors (311556378127104).

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

112122001221120 is a wasteful number, since it uses less digits than its factorization.

112122001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70474 (or 70455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112122001221120 its reverse (21122100221211), we get a palindrome (133244101442331).

Subtracting from 112122001221120 its reverse (21122100221211), we obtain a palindrome (90999900999909).

The spelling of 112122001221120 in words is "one hundred twelve trillion, one hundred twenty-two billion, one million, two hundred twenty-one thousand, one hundred twenty".