2112211121200 has 60 divisors (see below), whose sum is σ = 5088192369568. Its totient is φ = 842619283200.

The previous prime is 2112211121173. The next prime is 2112211121263. The reversal of 2112211121200 is 21211122112.

It is a super-2 number, since 2×2112211121200² (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 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 11 ways as a sum of consecutive naturals, for example, 6929256 + ... + 7227655.

Almost surely, 2^{2112211121200} is an apocalyptic number.

2112211121200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112211121200 is an abundant number, since it is smaller than the sum of its proper divisors (2975981248368).

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

2112211121200 is a wasteful number, since it uses less digits than its factorization.

2112211121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14157302 (or 14157291 counting only the distinct ones).

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

Adding to 2112211121200 its reverse (21211122112), we get a palindrome (2133422243312).

The spelling of 2112211121200 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, two hundred".