112120211221200 has 1920 divisors, whose sum is σ = 502847025730560. Its totient is φ = 23099572224000.

The previous prime is 112120211221199. The next prime is 112120211221243. The reversal of 112120211221200 is 2122112021211.

112120211221200 is a `hidden beast` number, since 1 + 1 + 212 + 0 + 211 + 221 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7246176664 + ... + 7246192136.

It is an arithmetic number, because the mean of its divisors is an integer number (261899492568).

Almost surely, 2^{112120211221200} is an apocalyptic number.

112120211221200 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 112120211221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251423512865280).

112120211221200 is an abundant number, since it is smaller than the sum of its proper divisors (390726814509360).

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

112120211221200 is a wasteful number, since it uses less digits than its factorization.

112120211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15694 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112120211221200 its reverse (2122112021211), we get a palindrome (114242323242411).

The spelling of 112120211221200 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".