112121100222120 has 256 divisors, whose sum is σ = 425439748915200. Its totient is φ = 25999095640320.

The previous prime is 112121100222119. The next prime is 112121100222191. The reversal of 112121100222120 is 21222001121211.

112121100222120 is a `hidden beast` number, since 1 + 1 + 212 + 110 + 0 + 222 + 120 = 666.

It is a super-2 number, since 2×112121100222120² (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 = 112121100222093 and 112121100222102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204896392 + ... + 205442871.

It is an arithmetic number, because the mean of its divisors is an integer number (1661874019200).

Almost surely, 2^{112121100222120} is an apocalyptic number.

112121100222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121100222120 is an abundant number, since it is smaller than the sum of its proper divisors (313318648693080).

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

112121100222120 is a wasteful number, since it uses less digits than its factorization.

112121100222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410339317 (or 410339307 counting only the distinct ones).

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

Adding to 112121100222120 its reverse (21222001121211), we get a palindrome (133343101343331).

The spelling of 112121100222120 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-two thousand, one hundred twenty".