112246867200 has 432 divisors, whose sum is σ = 402188036096. Its totient is φ = 27404697600.

The previous prime is 112246867193. The next prime is 112246867237. The reversal of 112246867200 is 2768642211.

112246867200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 31697430 + ... + 31700970.

Almost surely, 2^112246867200 is an apocalyptic number.

112246867200 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 112246867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201094018048).

112246867200 is an abundant number, since it is smaller than the sum of its proper divisors (289941168896).

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

112246867200 is a wasteful number, since it uses less digits than its factorization.

112246867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 112246867200 in words is "one hundred twelve billion, two hundred forty-six million, eight hundred sixty-seven thousand, two hundred".