112212211200 has 480 divisors, whose sum is σ = 382577513472. Its totient is φ = 28975104000.

The previous prime is 112212211183. The next prime is 112212211271. The reversal of 112212211200 is 2112212211.

It is a tau number, because it is divible by the number of its divisors (480).

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 112212211200.

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, 414067065 + ... + 414067335.

Almost surely, 2^112212211200 is an apocalyptic number.

112212211200 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 112212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191288756736).

112212211200 is an abundant number, since it is smaller than the sum of its proper divisors (270365302272).

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

112212211200 is a wasteful number, since it uses less digits than its factorization.

112212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112212211200 its reverse (2112212211), we get a palindrome (114324423411).

The spelling of 112212211200 in words is "one hundred twelve billion, two hundred twelve million, two hundred eleven thousand, two hundred".