112800909312960 has 896 divisors, whose sum is σ = 422858354688000. Its totient is φ = 25180803072000.

The previous prime is 112800909312943. The next prime is 112800909312991. The reversal of 112800909312960 is 69213909008211.

It is a super-3 number, since 3×112800909312960³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2229285741 + ... + 2229336339.

It is an arithmetic number, because the mean of its divisors is an integer number (471940128000).

Almost surely, 2^{112800909312960} is an apocalyptic number.

112800909312960 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 112800909312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211429177344000).

112800909312960 is an abundant number, since it is smaller than the sum of its proper divisors (310057445375040).

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

112800909312960 is a wasteful number, since it uses less digits than its factorization.

112800909312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50961 (or 50951 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 112800909312960 in words is "one hundred twelve trillion, eight hundred billion, nine hundred nine million, three hundred twelve thousand, nine hundred sixty".