11211210000 has 250 divisors, whose sum is σ = 40550568102. Its totient is φ = 2989440000.

The previous prime is 11211209951. The next prime is 11211210007. The reversal of 11211210000 is 1211211.

It is a happy number.

11211210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 5435817984 + 5775392016 = 73728^2 + 75996^2 .

It is a tau number, because it is divible by the number of its divisors (250).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211210007) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 803080 + ... + 816920.

Almost surely, 2^11211210000 is an apocalyptic number.

11211210000 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 11211210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275284051).

11211210000 is an abundant number, since it is smaller than the sum of its proper divisors (29339358102).

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

11211210000 is an equidigital number, since it uses as much as digits as its factorization.

11211210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13851 counting only the distinct ones).

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

Adding to 11211210000 its reverse (1211211), we get a palindrome (11212421211).

It can be divided in two parts, 1121 and 1210000, that added together give a palindrome (1211121).

The spelling of 11211210000 in words is "eleven billion, two hundred eleven million, two hundred ten thousand".