112322522400 has 576 divisors, whose sum is σ = 426437706240. Its totient is φ = 25377587200.

The previous prime is 112322522381. The next prime is 112322522461. The reversal of 112322522400 is 4225223211.

112322522400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48020431 + ... + 48022769.

It is an arithmetic number, because the mean of its divisors is an integer number (740343240).

Almost surely, 2^112322522400 is an apocalyptic number.

112322522400 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 112322522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213218853120).

112322522400 is an abundant number, since it is smaller than the sum of its proper divisors (314115183840).

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

112322522400 is a wasteful number, since it uses less digits than its factorization.

112322522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 112322522400 its reverse (4225223211), we get a palindrome (116547745611).

The spelling of 112322522400 in words is "one hundred twelve billion, three hundred twenty-two million, five hundred twenty-two thousand, four hundred".