112121131102200 has 1728 divisors, whose sum is σ = 436992990033600. Its totient is φ = 25709156352000.

The previous prime is 112121131102199. The next prime is 112121131102217. The reversal of 112121131102200 is 2201131121211.

It is a happy number.

112121131102200 is a `hidden beast` number, since 1 + 12 + 121 + 1 + 311 + 0 + 220 + 0 = 666.

It is a super-2 number, since 2×112121131102200² (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 431 ways as a sum of consecutive naturals, for example, 145046741014 + ... + 145046741786.

It is an arithmetic number, because the mean of its divisors is an integer number (252889461825).

Almost surely, 2^{112121131102200} is an apocalyptic number.

112121131102200 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 112121131102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218496495016800).

112121131102200 is an abundant number, since it is smaller than the sum of its proper divisors (324871858931400).

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

112121131102200 is a wasteful number, since it uses less digits than its factorization.

112121131102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112121131102200 its reverse (2201131121211), we get a palindrome (114322262223411).

The spelling of 112121131102200 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred thirty-one million, one hundred two thousand, two hundred".