112122211102200 has 288 divisors, whose sum is σ = 406124058740400. Its totient is φ = 27557429114880.

The previous prime is 112122211102189. The next prime is 112122211102229. The reversal of 112122211102200 is 2201112221211.

112122211102200 is a `hidden beast` number, since 1 + 1 + 212 + 221 + 1 + 10 + 220 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11785132 + ... + 19056068.

Almost surely, 2^{112122211102200} is an apocalyptic number.

112122211102200 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 112122211102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203062029370200).

112122211102200 is an abundant number, since it is smaller than the sum of its proper divisors (294001847638200).

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

112122211102200 is a wasteful number, since it uses less digits than its factorization.

112122211102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271631 (or 7271619 counting only the distinct ones).

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

Adding to 112122211102200 its reverse (2201112221211), we get a palindrome (114323323323411).

The spelling of 112122211102200 in words is "one hundred twelve trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, two hundred".