112199040 has 256 divisors, whose sum is σ = 409305600. Its totient is φ = 29030400.

The previous prime is 112198987. The next prime is 112199051. The reversal of 112199040 is 40991211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112198995 and 112199013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742965 + ... + 743115.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 2^112199040 is an apocalyptic number.

112199040 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 112199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204652800).

112199040 is an abundant number, since it is smaller than the sum of its proper divisors (297106560).

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

112199040 is a wasteful number, since it uses less digits than its factorization.

112199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 112199040 is about 10592.4048261006. The cubic root of 112199040 is about 482.3138283247.

The spelling of 112199040 in words is "one hundred twelve million, one hundred ninety-nine thousand, forty".