112162800 has 120 divisors (see below), whose sum is σ = 362258560. Its totient is φ = 29664000.

The previous prime is 112162793. The next prime is 112162801. The reversal of 112162800 is 8261211.

112162800 = 475² + 476² + ... + 762².

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112162801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180891 + ... + 181509.

Almost surely, 2^112162800 is an apocalyptic number.

112162800 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 112162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181129280).

112162800 is an abundant number, since it is smaller than the sum of its proper divisors (250095760).

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

112162800 is a wasteful number, since it uses less digits than its factorization.

112162800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 112162800 is about 10590.6940282495. The cubic root of 112162800 is about 482.2618940260.

The spelling of 112162800 in words is "one hundred twelve million, one hundred sixty-two thousand, eight hundred".