112012201210000 has 450 divisors, whose sum is σ = 341602894084122. Its totient is φ = 35449989120000.

The previous prime is 112012201209991. The next prime is 112012201210043. The reversal of 112012201210000 is 12102210211.

It can be written as a sum of positive squares in 15 ways, for example, as 111534974464144 + 477226745856 = 10561012^2 + 690816^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 82133680 + ... + 83486320.

Almost surely, 2^{112012201210000} is an apocalyptic number.

112012201210000 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 112012201210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170801447042061).

112012201210000 is an abundant number, since it is smaller than the sum of its proper divisors (229590692874122).

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

112012201210000 is a wasteful number, since it uses less digits than its factorization.

112012201210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352709 (or 1352668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112012201210000 its reverse (12102210211), we get a palindrome (112024303420211).

The spelling of 112012201210000 in words is "one hundred twelve trillion, twelve billion, two hundred one million, two hundred ten thousand".