112399887600 has 1920 divisors, whose sum is σ = 553624565760. Its totient is φ = 20901888000.

The previous prime is 112399887599. The next prime is 112399887601. The reversal of 112399887600 is 6788993211.

112399887600 is a `hidden beast` number, since 1 + 1 + 23 + 9 + 9 + 8 + 8 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (112399887599) and next prime (112399887601).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112399887601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 399999460 + ... + 399999740.

It is an arithmetic number, because the mean of its divisors is an integer number (288346128).

Almost surely, 2^112399887600 is an apocalyptic number.

112399887600 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 112399887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276812282880).

112399887600 is an abundant number, since it is smaller than the sum of its proper divisors (441224678160).

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

112399887600 is a wasteful number, since it uses less digits than its factorization.

112399887600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

It can be divided in two parts, 112399 and 887600, that added together give a palindrome (999999).

The spelling of 112399887600 in words is "one hundred twelve billion, three hundred ninety-nine million, eight hundred eighty-seven thousand, six hundred".