112212202012200 has 72 divisors (see below), whose sum is σ = 376845978430350. Its totient is φ = 29923253869440.

The previous prime is 112212202012177. The next prime is 112212202012223. The reversal of 112212202012200 is 2210202212211.

It is a happy number.

112212202012200 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 220 + 201 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112212202012177) and next prime (112212202012223).

It can be written as a sum of positive squares in 3 ways, for example, as 60534593038404 + 51677608973796 = 7780398^2 + 7188714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31170054315 + ... + 31170057914.

Almost surely, 2^{112212202012200} is an apocalyptic number.

112212202012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212202012200 is an abundant number, since it is smaller than the sum of its proper divisors (264633776418150).

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

112212202012200 is a wasteful number, since it uses less digits than its factorization.

112212202012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62340112251 (or 62340112239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112212202012200 its reverse (2210202212211), we get a palindrome (114422404224411).

The spelling of 112212202012200 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred two million, twelve thousand, two hundred".