112021112011200 has 336 divisors, whose sum is σ = 420067823295744. Its totient is φ = 25602265497600.

The previous prime is 112021112011117. The next prime is 112021112011217. The reversal of 112021112011200 is 2110211120211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112021112011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346624087 + ... + 346947113.

Almost surely, 2^{112021112011200} is an apocalyptic number.

112021112011200 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 112021112011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210033911647872).

112021112011200 is an abundant number, since it is smaller than the sum of its proper divisors (308046711284544).

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

112021112011200 is a wasteful number, since it uses less digits than its factorization.

112021112011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333380 (or 333365 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112021112011200 its reverse (2110211120211), we get a palindrome (114131323131411).

The spelling of 112021112011200 in words is "one hundred twelve trillion, twenty-one billion, one hundred twelve million, eleven thousand, two hundred".