2112212111200 has 72 divisors (see below), whose sum is σ = 5207491855440. Its totient is φ = 836519616000.

The previous prime is 2112212111197. The next prime is 2112212111213. The reversal of 2112212111200 is 21112122112.

It is a super-2 number, since 2×2112212111200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12989820 + ... + 13151419.

It is an arithmetic number, because the mean of its divisors is an integer number (72326275770).

Almost surely, 2^{2112212111200} is an apocalyptic number.

2112212111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112212111200 is an abundant number, since it is smaller than the sum of its proper divisors (3095279744240).

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

2112212111200 is a wasteful number, since it uses less digits than its factorization.

2112212111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26141360 (or 26141347 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112212111200 its reverse (21112122112), we get a palindrome (2133324233312).

The spelling of 2112212111200 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred eleven thousand, two hundred".