112254400 has 84 divisors (see below), whose sum is σ = 292534848. Its totient is φ = 42250240.

The previous prime is 112254391. The next prime is 112254407. The reversal of 112254400 is 4452211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112254407) 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 11 ways as a sum of consecutive naturals, for example, 25137 + ... + 29263.

Almost surely, 2^112254400 is an apocalyptic number.

112254400 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 112254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146267424).

112254400 is an abundant number, since it is smaller than the sum of its proper divisors (180280448).

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

112254400 is a wasteful number, since it uses less digits than its factorization.

112254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 112254400 is about 10595.0176970121. The cubic root of 112254400 is about 482.3931412530.

It can be divided in two parts, 11225 and 4400, that added together give a 6-th power (15625 = 5⁶).

The spelling of 112254400 in words is "one hundred twelve million, two hundred fifty-four thousand, four hundred".