112102908892800 has 2304 divisors, whose sum is σ = 468256583232000. Its totient is φ = 23412591820800.

The previous prime is 112102908892787. The next prime is 112102908892813. The reversal of 112102908892800 is 8298809201211.

It is an interprime number because it is at equal distance from previous prime (112102908892787) and next prime (112102908892813).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38536577746 + ... + 38536580654.

It is an arithmetic number, because the mean of its divisors is an integer number (203236364250).

Almost surely, 2^{112102908892800} is an apocalyptic number.

112102908892800 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 112102908892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234128291616000).

112102908892800 is an abundant number, since it is smaller than the sum of its proper divisors (356153674339200).

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

112102908892800 is a wasteful number, since it uses less digits than its factorization.

112102908892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 112102908892800 in words is "one hundred twelve trillion, one hundred two billion, nine hundred eight million, eight hundred ninety-two thousand, eight hundred".