112202102121200 has 180 divisors, whose sum is σ = 337697503398360. Its totient is φ = 35510115755520.

The previous prime is 112202102121157. The next prime is 112202102121211. The reversal of 112202102121200 is 2121201202211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219922010 + ... + 220431609.

It is an arithmetic number, because the mean of its divisors is an integer number (1876097241102).

Almost surely, 2^{112202102121200} is an apocalyptic number.

112202102121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112202102121200 is an abundant number, since it is smaller than the sum of its proper divisors (225495401277160).

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

112202102121200 is a wasteful number, since it uses less digits than its factorization.

112202102121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440353664 (or 440353646 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112202102121200 its reverse (2121201202211), we get a palindrome (114323303323411).

The spelling of 112202102121200 in words is "one hundred twelve trillion, two hundred two billion, one hundred two million, one hundred twenty-one thousand, two hundred".