112212100 has 288 divisors, whose sum is σ = 349977600. Its totient is φ = 30067200.

The previous prime is 112212031. The next prime is 112212103. The reversal of 112212100 is 1212211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112212103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1901871 + ... + 1901929.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 2^112212100 is an apocalyptic number.

112212100 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 112212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174988800).

112212100 is an abundant number, since it is smaller than the sum of its proper divisors (237765500).

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

112212100 is a wasteful number, since it uses less digits than its factorization.

112212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 112212100 is about 10593.0212876214. The cubic root of 112212100 is about 482.3325414207.

Adding to 112212100 its reverse (1212211), we get a palindrome (113424311).

It can be divided in two parts, 112 and 212100, that added together give a palindrome (212212).

The spelling of 112212100 in words is "one hundred twelve million, two hundred twelve thousand, one hundred".