112419840 has 176 divisors, whose sum is σ = 387914688. Its totient is φ = 27623424.

The previous prime is 112419829. The next prime is 112419859. The reversal of 112419840 is 48914211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112419798 and 112419807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199399 + ... + 199961.

Almost surely, 2^112419840 is an apocalyptic number.

112419840 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 112419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193957344).

112419840 is an abundant number, since it is smaller than the sum of its proper divisors (275494848).

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

112419840 is a wasteful number, since it uses less digits than its factorization.

112419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 112419840 is about 10602.8222657932. The cubic root of 112419840 is about 482.6300078314.

The spelling of 112419840 in words is "one hundred twelve million, four hundred nineteen thousand, eight hundred forty".