2122120211200 has 432 divisors, whose sum is σ = 5825501644032. Its totient is φ = 758937600000.

The previous prime is 2122120211171. The next prime is 2122120211231. The reversal of 2122120211200 is 21120212212.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158994285 + ... + 1158996115.

Almost surely, 2^{2122120211200} is an apocalyptic number.

2122120211200 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 2122120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912750822016).

2122120211200 is an abundant number, since it is smaller than the sum of its proper divisors (3703381432832).

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

2122120211200 is a wasteful number, since it uses less digits than its factorization.

2122120211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122120211200 its reverse (21120212212), we get a palindrome (2143240423412).

The spelling of 2122120211200 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, two hundred".