2112121211200 has 1008 divisors, whose sum is σ = 7106433409152. Its totient is φ = 601159680000.

The previous prime is 2112121211197. The next prime is 2112121211209. The reversal of 2112121211200 is 21121212112.

It is a super-2 number, since 2×2112121211200² (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 not an unprimeable number, because it can be changed into a prime (2112121211209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1779377007 + ... + 1779378193.

It is an arithmetic number, because the mean of its divisors is an integer number (7050033144).

Almost surely, 2^{2112121211200} is an apocalyptic number.

2112121211200 is a gapful number since it is divisible by the number (20) 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 2112121211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553216704576).

2112121211200 is an abundant number, since it is smaller than the sum of its proper divisors (4994312197952).

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

2112121211200 is a wasteful number, since it uses less digits than its factorization.

2112121211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1326 counting only the distinct ones).

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

Adding to 2112121211200 its reverse (21121212112), we get a palindrome (2133242423312).

2112121211200 divided by its reverse (21121212112) gives a square (100 = 10²).

The spelling of 2112121211200 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred".