112225544400 has 480 divisors, whose sum is σ = 389955041280. Its totient is φ = 27495936000.

The previous prime is 112225544393. The next prime is 112225544407. The reversal of 112225544400 is 4445522211.

It is an interprime number because it is at equal distance from previous prime (112225544393) and next prime (112225544407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112225544407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253330579 + ... + 253331021.

It is an arithmetic number, because the mean of its divisors is an integer number (812406336).

Almost surely, 2^112225544400 is an apocalyptic number.

112225544400 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 112225544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194977520640).

112225544400 is an abundant number, since it is smaller than the sum of its proper divisors (277729496880).

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

112225544400 is a wasteful number, since it uses less digits than its factorization.

112225544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 112225544400 in words is "one hundred twelve billion, two hundred twenty-five million, five hundred forty-four thousand, four hundred".