112101120012 has 96 divisors (see below), whose sum is σ = 315441011200. Its totient is φ = 30268795392.

The previous prime is 112101119971. The next prime is 112101120023. The reversal of 112101120012 is 210021101211.

It is a super-2 number, since 2×112101120012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 112101120012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566898 + ... + 738630.

Almost surely, 2^112101120012 is an apocalyptic number.

112101120012 is a gapful number since it is divisible by the number (12) 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 112101120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157720505600).

112101120012 is an abundant number, since it is smaller than the sum of its proper divisors (203339891188).

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

112101120012 is a wasteful number, since it uses less digits than its factorization.

112101120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172175 (or 172173 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112101120012 its reverse (210021101211), we get a palindrome (322122221223).

The spelling of 112101120012 in words is "one hundred twelve billion, one hundred one million, one hundred twenty thousand, twelve".