112774200 has 192 divisors, whose sum is σ = 436043520. Its totient is φ = 23424000.

The previous prime is 112774183. The next prime is 112774219. The reversal of 112774200 is 2477211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44980 + ... + 47420.

It is an arithmetic number, because the mean of its divisors is an integer number (2271060).

Almost surely, 2^112774200 is an apocalyptic number.

112774200 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 112774200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218021760).

112774200 is an abundant number, since it is smaller than the sum of its proper divisors (323269320).

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

112774200 is a wasteful number, since it uses less digits than its factorization.

112774200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 112774200 is about 10619.5197631531. The cubic root of 112774200 is about 483.1365773336.

The spelling of 112774200 in words is "one hundred twelve million, seven hundred seventy-four thousand, two hundred".