112121888 has 48 divisors (see below), whose sum is σ = 240408000. Its totient is φ = 51270912.

The previous prime is 112121881. The next prime is 112121899. The reversal of 112121888 is 888121211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112121881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14453 + ... + 20811.

It is an arithmetic number, because the mean of its divisors is an integer number (5008500).

Almost surely, 2^112121888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112121888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120204000).

112121888 is an abundant number, since it is smaller than the sum of its proper divisors (128286112).

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

112121888 is a wasteful number, since it uses less digits than its factorization.

112121888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417 (or 6409 counting only the distinct ones).

The product of its digits is 2048, while the sum is 32.

The square root of 112121888 is about 10588.7623450524. The cubic root of 112121888 is about 482.2032510000.

The spelling of 112121888 in words is "one hundred twelve million, one hundred twenty-one thousand, eight hundred eighty-eight".