112212000 has 192 divisors, whose sum is σ = 408844800. Its totient is φ = 29894400.

The previous prime is 112211999. The next prime is 112212007. The reversal of 112212000 is 212211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107481 + ... + 108519.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^112212000 is an apocalyptic number.

112212000 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 112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

112212000 is an abundant number, since it is smaller than the sum of its proper divisors (296632800).

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

112212000 is a wasteful number, since it uses less digits than its factorization.

112212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112212000 is about 10593.0165675316. The cubic root of 112212000 is about 482.3323981406.

Adding to 112212000 its reverse (212211), we get a palindrome (112424211).

The spelling of 112212000 in words is "one hundred twelve million, two hundred twelve thousand".