112240404013200 has 240 divisors, whose sum is σ = 362370497280000. Its totient is φ = 29695534502400.

The previous prime is 112240404013181. The next prime is 112240404013253. The reversal of 112240404013200 is 2310404042211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 710307801 + ... + 710465799.

It is an arithmetic number, because the mean of its divisors is an integer number (1509877072000).

Almost surely, 2^{112240404013200} is an apocalyptic number.

112240404013200 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 112240404013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181185248640000).

112240404013200 is an abundant number, since it is smaller than the sum of its proper divisors (250130093266800).

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

112240404013200 is a wasteful number, since it uses less digits than its factorization.

112240404013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162670 (or 162659 counting only the distinct ones).

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

Adding to 112240404013200 its reverse (2310404042211), we get a palindrome (114550808055411).

The spelling of 112240404013200 in words is "one hundred twelve trillion, two hundred forty billion, four hundred four million, thirteen thousand, two hundred".