112121112121200 has 1440 divisors, whose sum is σ = 492221711794176. Its totient is φ = 22998377226240.

The previous prime is 112121112121171. The next prime is 112121112121223. The reversal of 112121112121200 is 2121211121211.

It is a happy number.

112121112121200 is a `hidden beast` number, since 1 + 121 + 211 + 1 + 212 + 120 + 0 = 666.

It is a super-2 number, since 2×112121112121200² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 18993917449 + ... + 18993923351.

Almost surely, 2^{112121112121200} is an apocalyptic number.

112121112121200 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 112121112121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246110855897088).

112121112121200 is an abundant number, since it is smaller than the sum of its proper divisors (380100599672976).

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

112121112121200 is a wasteful number, since it uses less digits than its factorization.

112121112121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112121112121200 its reverse (2121211121211), we get a palindrome (114242323242411).

The spelling of 112121112121200 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".