112112132100000 has 576 divisors, whose sum is σ = 389716681536000. Its totient is φ = 28121016320000.

The previous prime is 112112132099971. The next prime is 112112132100037. The reversal of 112112132100000 is 1231211211.

112112132100000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9939894361 + ... + 9939905639.

It is an arithmetic number, because the mean of its divisors is an integer number (676591461000).

Almost surely, 2^{112112132100000} is an apocalyptic number.

112112132100000 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 112112132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194858340768000).

112112132100000 is an abundant number, since it is smaller than the sum of its proper divisors (277604549436000).

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

112112132100000 is a wasteful number, since it uses less digits than its factorization.

112112132100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 112112132100000 its reverse (1231211211), we get a palindrome (112113363311211).

The spelling of 112112132100000 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred thirty-two million, one hundred thousand".