112232044201200 has 720 divisors, whose sum is σ = 473061295639296. Its totient is φ = 22093519564800.

The previous prime is 112232044201159. The next prime is 112232044201201. The reversal of 112232044201200 is 2102440232211.

It is a super-3 number, since 3×112232044201200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112232044201201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31674084 + ... + 35038716.

Almost surely, 2^{112232044201200} is an apocalyptic number.

112232044201200 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 112232044201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236530647819648).

112232044201200 is an abundant number, since it is smaller than the sum of its proper divisors (360829251438096).

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

112232044201200 is a wasteful number, since it uses less digits than its factorization.

112232044201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364710 (or 3364680 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112232044201200 its reverse (2102440232211), we get a palindrome (114334484433411).

The spelling of 112232044201200 in words is "one hundred twelve trillion, two hundred thirty-two billion, forty-four million, two hundred one thousand, two hundred".