112202011121200 has 480 divisors, whose sum is σ = 365517507382272. Its totient is φ = 31962263040000.

The previous prime is 112202011121177. The next prime is 112202011121251. The reversal of 112202011121200 is 2121110202211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39053149 + ... + 41827651.

Almost surely, 2^{112202011121200} is an apocalyptic number.

112202011121200 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 112202011121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182758753691136).

112202011121200 is an abundant number, since it is smaller than the sum of its proper divisors (253315496261072).

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

112202011121200 is a wasteful number, since it uses less digits than its factorization.

112202011121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774653 (or 2774642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112202011121200 its reverse (2121110202211), we get a palindrome (114323121323411).

It can be divided in two parts, 112202011 and 121200, that added together give a palindrome (112323211).

The spelling of 112202011121200 in words is "one hundred twelve trillion, two hundred two billion, eleven million, one hundred twenty-one thousand, two hundred".