112413144002200 has 96 divisors (see below), whose sum is σ = 262634561740800. Its totient is φ = 44746604639360.

The previous prime is 112413144002197. The next prime is 112413144002207. The reversal of 112413144002200 is 2200441314211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112413144002207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32277441 + ... + 35590159.

It is an arithmetic number, because the mean of its divisors is an integer number (2735776684800).

Almost surely, 2^{112413144002200} is an apocalyptic number.

112413144002200 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 112413144002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131317280870400).

112413144002200 is an abundant number, since it is smaller than the sum of its proper divisors (150221417738600).

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

112413144002200 is a wasteful number, since it uses less digits than its factorization.

112413144002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313561 (or 3313552 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 112413144002200 its reverse (2200441314211), we get a palindrome (114613585316411).

The spelling of 112413144002200 in words is "one hundred twelve trillion, four hundred thirteen billion, one hundred forty-four million, two thousand, two hundred".