112003920 has 240 divisors, whose sum is σ = 437329152. Its totient is φ = 25159680.

The previous prime is 112003897. The next prime is 112003933. The reversal of 112003920 is 29300211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112003893 and 112003902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357684 + ... + 357996.

Almost surely, 2^112003920 is an apocalyptic number.

112003920 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 112003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218664576).

112003920 is an abundant number, since it is smaller than the sum of its proper divisors (325325232).

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

112003920 is a wasteful number, since it uses less digits than its factorization.

112003920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112003920 is about 10583.1904452296. The cubic root of 112003920 is about 482.0340764347.

The spelling of 112003920 in words is "one hundred twelve million, three thousand, nine hundred twenty".