112472287200 has 1296 divisors, whose sum is σ = 503268882480. Its totient is φ = 23425597440.

The previous prime is 112472287171. The next prime is 112472287201. The reversal of 112472287200 is 2782274211.

112472287200 is a `hidden beast` number, since 112 + 472 + 2 + 8 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112472287201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 628336711 + ... + 628336889.

It is an arithmetic number, because the mean of its divisors is an integer number (388324755).

Almost surely, 2^112472287200 is an apocalyptic number.

112472287200 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 112472287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251634441240).

112472287200 is an abundant number, since it is smaller than the sum of its proper divisors (390796595280).

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

112472287200 is a wasteful number, since it uses less digits than its factorization.

112472287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 112472287200 in words is "one hundred twelve billion, four hundred seventy-two million, two hundred eighty-seven thousand, two hundred".