2121321000000 has 784 divisors, whose sum is σ = 7465123195200. Its totient is φ = 530611200000.

The previous prime is 2121320999989. The next prime is 2121321000023. The reversal of 2121321000000 is 1231212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121321000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3218999671 + ... + 3219000329.

Almost surely, 2^{2121321000000} is an apocalyptic number.

2121321000000 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 2121321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732561597600).

2121321000000 is an abundant number, since it is smaller than the sum of its proper divisors (5343802195200).

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

2121321000000 is an frugal number, since it uses more digits than its factorization.

2121321000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2121321000000 its reverse (1231212), we get a palindrome (2121322231212).

The spelling of 2121321000000 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-one million", and thus it is an aban number.