112214800 has 30 divisors (see below), whose sum is σ = 269597018. Its totient is φ = 44885760.

The previous prime is 112214759. The next prime is 112214801. The reversal of 112214800 is 8412211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24336 + 112190464 = 156^2 + 10592^2 .

It is a super-2 number, since 2×112214800² = 25184322678080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112214801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139869 + ... + 140668.

Almost surely, 2^112214800 is an apocalyptic number.

112214800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112214800 is an abundant number, since it is smaller than the sum of its proper divisors (157382218).

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

112214800 is a wasteful number, since it uses less digits than its factorization.

112214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280555 (or 280544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 112214800 is about 10593.1487292495. The cubic root of 112214800 is about 482.3364099501.

The spelling of 112214800 in words is "one hundred twelve million, two hundred fourteen thousand, eight hundred".