112411800 has 192 divisors, whose sum is σ = 393501600. Its totient is φ = 29859840.

The previous prime is 112411777. The next prime is 112411811. The reversal of 112411800 is 8114211.

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

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, 437272 + ... + 437528.

Almost surely, 2^112411800 is an apocalyptic number.

112411800 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 112411800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196750800).

112411800 is an abundant number, since it is smaller than the sum of its proper divisors (281089800).

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

112411800 is an equidigital number, since it uses as much as digits as its factorization.

112411800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 112411800 is about 10602.4431146788. The cubic root of 112411800 is about 482.6185020398.

It can be divided in two parts, 11241 and 1800, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 112411800 in words is "one hundred twelve million, four hundred eleven thousand, eight hundred".