112212200101000 has 192 divisors, whose sum is σ = 278962617557520. Its totient is φ = 42239773900800.

The previous prime is 112212200100989. The next prime is 112212200101003. The reversal of 112212200101000 is 101002212211.

It can be written as a sum of positive squares in 24 ways, for example, as 55885103701956 + 56327096399044 = 7475634^2 + 7505138^2 .

It is not an unprimeable number, because it can be changed into a prime (112212200101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3478676872 + ... + 3478709128.

Almost surely, 2^{112212200101000} is an apocalyptic number.

112212200101000 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 112212200101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139481308778760).

112212200101000 is an abundant number, since it is smaller than the sum of its proper divisors (166750417456520).

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

112212200101000 is a wasteful number, since it uses less digits than its factorization.

112212200101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44349 (or 44318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112212200101000 its reverse (101002212211), we get a palindrome (112313202313211).

The spelling of 112212200101000 in words is "one hundred twelve trillion, two hundred twelve billion, two hundred million, one hundred one thousand".