112122001200 has 480 divisors, whose sum is σ = 403036204032. Its totient is φ = 26409600000.

The previous prime is 112122001163. The next prime is 112122001223. The reversal of 112122001200 is 2100221211.

112122001200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 142467207 + ... + 142467993.

Almost surely, 2^112122001200 is an apocalyptic number.

112122001200 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 112122001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201518102016).

112122001200 is an abundant number, since it is smaller than the sum of its proper divisors (290914202832).

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

112122001200 is a wasteful number, since it uses less digits than its factorization.

112122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112122001200 its reverse (2100221211), we get a palindrome (114222222411).

The spelling of 112122001200 in words is "one hundred twelve billion, one hundred twenty-two million, one thousand, two hundred".