112021120022112 has 144 divisors (see below), whose sum is σ = 364636614075552. Its totient is φ = 31956102512640.

The previous prime is 112021120022093. The next prime is 112021120022131. The reversal of 112021120022112 is 211220021120211.

112021120022112 is a `hidden beast` number, since 1 + 1 + 20 + 211 + 200 + 221 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (112021120022093) and next prime (112021120022131).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112021120022112² (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 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 23 ways as a sum of consecutive naturals, for example, 42050983 + ... + 44635494.

It is an arithmetic number, because the mean of its divisors is an integer number (2532198708858).

Almost surely, 2^{112021120022112} is an apocalyptic number.

112021120022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112021120022112 is an abundant number, since it is smaller than the sum of its proper divisors (252615494053440).

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

112021120022112 is a wasteful number, since it uses less digits than its factorization.

112021120022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86687141 (or 86687130 counting only the distinct ones).

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

Adding to 112021120022112 its reverse (211220021120211), we get a palindrome (323241141142323).

The spelling of 112021120022112 in words is "one hundred twelve trillion, twenty-one billion, one hundred twenty million, twenty-two thousand, one hundred twelve".