2121222000000 has 448 divisors, whose sum is σ = 7070182938000. Its totient is φ = 563481600000.

The previous prime is 2121221999933. The next prime is 2121222000067. The reversal of 2121222000000 is 2221212.

It is an interprime number because it is at equal distance from previous prime (2121221999933) and next prime (2121222000067).

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 2121222000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2093999494 + ... + 2094000506.

Almost surely, 2^{2121222000000} is an apocalyptic number.

2121222000000 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 2121222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535091469000).

2121222000000 is an abundant number, since it is smaller than the sum of its proper divisors (4948960938000).

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

2121222000000 is an frugal number, since it uses more digits than its factorization.

2121222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2121222000000 its reverse (2221212), we get a palindrome (2121224221212).

It can be divided in two parts, 212122 and 2000000, that added together give a palindrome (2212122).

The spelling of 2121222000000 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-two million", and thus it is an aban number.