11211210000000 has 640 divisors, whose sum is σ = 41708380530960. Its totient is φ = 2989440000000.

The previous prime is 11211209999963. The next prime is 11211210000019. The reversal of 11211210000000 is 1211211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10790278940736 + 420931059264 = 3284856^2 + 648792^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 809993080 + ... + 810006920.

Almost surely, 2^{11211210000000} is an apocalyptic number.

11211210000000 is a gapful number since it is divisible by the number (10) 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 11211210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854190265480).

11211210000000 is an abundant number, since it is smaller than the sum of its proper divisors (30497170530960).

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

11211210000000 is an frugal number, since it uses more digits than its factorization.

11211210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13902 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11211210000000 its reverse (1211211), we get a palindrome (11211211211211).

The spelling of 11211210000000 in words is "eleven trillion, two hundred eleven billion, two hundred ten million", and thus it is an aban number.