112201020021200 has 360 divisors, whose sum is σ = 298927808192664. Its totient is φ = 40438972006400.

The previous prime is 112201020021163. The next prime is 112201020021217. The reversal of 112201020021200 is 2120020102211.

It can be written as a sum of positive squares in 12 ways, for example, as 33130937378704 + 79070082642496 = 5755948^2 + 8892136^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4329899444 + ... + 4329925356.

Almost surely, 2^{112201020021200} is an apocalyptic number.

112201020021200 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 112201020021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149463904096332).

112201020021200 is an abundant number, since it is smaller than the sum of its proper divisors (186726788171464).

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

112201020021200 is a wasteful number, since it uses less digits than its factorization.

112201020021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743 (or 26721 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112201020021200 its reverse (2120020102211), we get a palindrome (114321040123411).

The spelling of 112201020021200 in words is "one hundred twelve trillion, two hundred one billion, twenty million, twenty-one thousand, two hundred".