2112202011200 has 84 divisors (see below), whose sum is σ = 5248796258292. Its totient is φ = 836515584000.

The previous prime is 2112202011197. The next prime is 2112202011209. The reversal of 2112202011200 is 21102022112.

It can be written as a sum of positive squares in 6 ways, for example, as 72378217024 + 2039823794176 = 269032^2 + 1428224^2 .

It is a super-2 number, since 2×2112202011200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112202011209) 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 11 ways as a sum of consecutive naturals, for example, 6373679 + ... + 6696878.

Almost surely, 2^{2112202011200} is an apocalyptic number.

2112202011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202011200 is an abundant number, since it is smaller than the sum of its proper divisors (3136594247092).

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

2112202011200 is a wasteful number, since it uses less digits than its factorization.

2112202011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13070680 (or 13070665 counting only the distinct ones).

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

Adding to 2112202011200 its reverse (21102022112), we get a palindrome (2133304033312).

The spelling of 2112202011200 in words is "two trillion, one hundred twelve billion, two hundred two million, eleven thousand, two hundred".