112022400 has 192 divisors, whose sum is σ = 421937280. Its totient is φ = 25589760.

The previous prime is 112022381. The next prime is 112022419. The reversal of 112022400 is 4220211.

It is an interprime number because it is at equal distance from previous prime (112022381) and next prime (112022419).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66367 + ... + 68033.

It is an arithmetic number, because the mean of its divisors is an integer number (2197590).

Almost surely, 2^112022400 is an apocalyptic number.

112022400 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 112022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210968640).

112022400 is an abundant number, since it is smaller than the sum of its proper divisors (309914880).

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

112022400 is a wasteful number, since it uses less digits than its factorization.

112022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 112022400 is about 10584.0634918731. The cubic root of 112022400 is about 482.0605859231.

Adding to 112022400 its reverse (4220211), we get a palindrome (116242611).

The spelling of 112022400 in words is "one hundred twelve million, twenty-two thousand, four hundred".