2121012001200 has 120 divisors (see below), whose sum is σ = 6794631720400. Its totient is φ = 565576289280.

The previous prime is 2121012001187. The next prime is 2121012001237. The reversal of 2121012001200 is 21002101212.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 49501386 + ... + 49544214.

Almost surely, 2^{2121012001200} is an apocalyptic number.

2121012001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121012001200 is an abundant number, since it is smaller than the sum of its proper divisors (4673619719200).

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

2121012001200 is a wasteful number, since it uses less digits than its factorization.

2121012001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84119 (or 84108 counting only the distinct ones).

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

Adding to 2121012001200 its reverse (21002101212), we get a palindrome (2142014102412).

The spelling of 2121012001200 in words is "two trillion, one hundred twenty-one billion, twelve million, one thousand, two hundred".