2122001011200 has 240 divisors, whose sum is σ = 8011312689600. Its totient is φ = 485028741120.

The previous prime is 2122001011187. The next prime is 2122001011201. The reversal of 2122001011200 is 21101002212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2122001011201) 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 23 ways as a sum of consecutive naturals, for example, 3678375 + ... + 4215974.

It is an arithmetic number, because the mean of its divisors is an integer number (33380469540).

Almost surely, 2^{2122001011200} is an apocalyptic number.

2122001011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122001011200 is an abundant number, since it is smaller than the sum of its proper divisors (5889311678400).

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

2122001011200 is an equidigital number, since it uses as much as digits as its factorization.

2122001011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894387 (or 7894366 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2122001011200 its reverse (21101002212), we get a palindrome (2143102013412).

The spelling of 2122001011200 in words is "two trillion, one hundred twenty-two billion, one million, eleven thousand, two hundred".