112121121200 has 120 divisors (see below), whose sum is σ = 293996438976. Its totient is φ = 40752288000.

The previous prime is 112121121197. The next prime is 112121121251. The reversal of 112121121200 is 2121121211.

112121121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112121121200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12328655 + ... + 12337745.

Almost surely, 2^112121121200 is an apocalyptic number.

112121121200 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 112121121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146998219488).

112121121200 is an abundant number, since it is smaller than the sum of its proper divisors (181875317776).

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

112121121200 is a wasteful number, since it uses less digits than its factorization.

112121121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112121121200 its reverse (2121121211), we get a palindrome (114242242411).

It can be divided in two parts, 1121211 and 21200, that added together give a palindrome (1142411).

The spelling of 112121121200 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred".