112012000320000 has 3200 divisors, whose sum is σ = 438591569771520. Its totient is φ = 25144197120000.

The previous prime is 112012000319987. The next prime is 112012000320001. The reversal of 112012000320000 is 23000210211.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112012000320001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 991256639944 + ... + 991256640056.

Almost surely, 2^{112012000320000} is an apocalyptic number.

112012000320000 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 112012000320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219295784885760).

112012000320000 is an abundant number, since it is smaller than the sum of its proper divisors (326579569451520).

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

112012000320000 is a wasteful number, since it uses less digits than its factorization.

112012000320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112012000320000 its reverse (23000210211), we get a palindrome (112035000530211).

The spelling of 112012000320000 in words is "one hundred twelve trillion, twelve billion, three hundred twenty thousand".