112121984 has 64 divisors (see below), whose sum is σ = 246301440. Its totient is φ = 50512896.

The previous prime is 112121981. The next prime is 112122001. The reversal of 112121984 is 489121211.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (112121981) 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, 70769 + ... + 72335.

It is an arithmetic number, because the mean of its divisors is an integer number (3848460).

Almost surely, 2^112121984 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 112121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123150720).

112121984 is an abundant number, since it is smaller than the sum of its proper divisors (134179456).

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

112121984 is a wasteful number, since it uses less digits than its factorization.

112121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its digits is 1152, while the sum is 29.

The square root of 112121984 is about 10588.7668781591. The cubic root of 112121984 is about 482.2033886225.

The spelling of 112121984 in words is "one hundred twelve million, one hundred twenty-one thousand, nine hundred eighty-four".