112220121002112 has 256 divisors, whose sum is σ = 350763751987200. Its totient is φ = 35246292009984.

The previous prime is 112220121002081. The next prime is 112220121002113. The reversal of 112220121002112 is 211200121022211.

112220121002112 is a `hidden beast` number, since 112 + 220 + 121 + 0 + 0 + 211 + 2 = 666.

It is a super-2 number, since 2×112220121002112² (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 not an unprimeable number, because it can be changed into a prime (112220121002113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5210028 + ... + 15861419.

It is an arithmetic number, because the mean of its divisors is an integer number (1370170906200).

Almost surely, 2^{112220121002112} is an apocalyptic number.

112220121002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112220121002112 is an abundant number, since it is smaller than the sum of its proper divisors (238543630985088).

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

112220121002112 is a wasteful number, since it uses less digits than its factorization.

112220121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21071560 (or 21071542 counting only the distinct ones).

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

Adding to 112220121002112 its reverse (211200121022211), we get a palindrome (323420242024323).

The spelling of 112220121002112 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred twenty-one million, two thousand, one hundred twelve".