21211311000000 has 784 divisors, whose sum is σ = 76737180251520. Its totient is φ = 5128128000000.

The previous prime is 21211310999959. The next prime is 21211311000023. The reversal of 21211311000000 is 11311212.

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 21211311000000.

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 17258999386 + ... + 17259000614.

Almost surely, 2^{21211311000000} is an apocalyptic number.

21211311000000 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 21211311000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38368590125760).

21211311000000 is an abundant number, since it is smaller than the sum of its proper divisors (55525869251520).

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

21211311000000 is an equidigital number, since it uses as much as digits as its factorization.

21211311000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1773 counting only the distinct ones).

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

Adding to 21211311000000 its reverse (11311212), we get a palindrome (21211322311212).

The spelling of 21211311000000 in words is "twenty-one trillion, two hundred eleven billion, three hundred eleven million", and thus it is an aban number.