112225242400 has 36 divisors (see below), whose sum is σ = 273969874962. Its totient is φ = 44890096640.

The previous prime is 112225242397. The next prime is 112225242403. The reversal of 112225242400 is 4242522211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112225242397) and next prime (112225242403).

It can be written as a sum of positive squares in 3 ways, for example, as 99883809936 + 12341432464 = 316044^2 + 111092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112225242403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70139977 + ... + 70141576.

Almost surely, 2^112225242400 is an apocalyptic number.

112225242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112225242400 is an abundant number, since it is smaller than the sum of its proper divisors (161744632562).

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

112225242400 is a wasteful number, since it uses less digits than its factorization.

112225242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140281573 (or 140281560 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 112225242400 its reverse (4242522211), we get a palindrome (116467764611).

The spelling of 112225242400 in words is "one hundred twelve billion, two hundred twenty-five million, two hundred forty-two thousand, four hundred".