112001984 has 56 divisors (see below), whose sum is σ = 237670848. Its totient is φ = 52183040.

The previous prime is 112001963. The next prime is 112002029. The reversal of 112001984 is 489100211.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122489 + ... + 123399.

Almost surely, 2^112001984 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 112001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118835424).

112001984 is an abundant number, since it is smaller than the sum of its proper divisors (125668864).

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

112001984 is a wasteful number, since it uses less digits than its factorization.

112001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 112001984 is about 10583.0989790326. The cubic root of 112001984 is about 482.0312990815.

The spelling of 112001984 in words is "one hundred twelve million, one thousand, nine hundred eighty-four".