112121112221120 has 56 divisors (see below), whose sum is σ = 267151495875264. Its totient is φ = 44821047950336.

The previous prime is 112121112221071. The next prime is 112121112221141. The reversal of 112121112221120 is 21122211121211.

It is a happy number.

It is a super-2 number, since 2×112121112221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112121112221092 and 112121112221101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106494632 + ... + 107542311.

It is an arithmetic number, because the mean of its divisors is an integer number (4770562426344).

Almost surely, 2^{112121112221120} is an apocalyptic number.

112121112221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121112221120 is an abundant number, since it is smaller than the sum of its proper divisors (155030383654144).

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

112121112221120 is a wasteful number, since it uses less digits than its factorization.

112121112221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214038597 (or 214038587 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 112121112221120 its reverse (21122211121211), we get a palindrome (133243323342331).

The spelling of 112121112221120 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".