112112000000 has 924 divisors, whose sum is σ = 382848068232. Its totient is φ = 32256000000.

The previous prime is 112111999927. The next prime is 112112000051. The reversal of 112112000000 is 211211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8623999994 + ... + 8624000006.

Almost surely, 2^112112000000 is an apocalyptic number.

112112000000 is a gapful number since it is divisible by the number (10) 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 112112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191424034116).

112112000000 is an abundant number, since it is smaller than the sum of its proper divisors (270736068232).

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

112112000000 is an frugal number, since it uses more digits than its factorization.

112112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 112112000000 its reverse (211211), we get a palindrome (112112211211).

It can be divided in two parts, 112 and 112000000, that multiplied together give a square (12544000000 = 112000²).

The spelling of 112112000000 in words is "one hundred twelve billion, one hundred twelve million", and thus it is an aban number.