2121330211200 has 192 divisors, whose sum is σ = 7763479630800. Its totient is φ = 565688033280.

The previous prime is 2121330211171. The next prime is 2121330211201. The reversal of 2121330211200 is 21120331212.

2121330211200 is a `hidden beast` number, since 2 + 121 + 330 + 2 + 11 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121330211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12189817 + ... + 12362616.

Almost surely, 2^{2121330211200} is an apocalyptic number.

2121330211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121330211200 is an abundant number, since it is smaller than the sum of its proper divisors (5642149419600).

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

2121330211200 is a wasteful number, since it uses less digits than its factorization.

2121330211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24552466 (or 24552443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121330211200 its reverse (21120331212), we get a palindrome (2142450542412).

The spelling of 2121330211200 in words is "two trillion, one hundred twenty-one billion, three hundred thirty million, two hundred eleven thousand, two hundred".