11302210000000 has 256 divisors, whose sum is σ = 28406030796000. Its totient is φ = 4478976000000.

The previous prime is 11302209999931. The next prime is 11302210000013. The reversal of 11302210000000 is 1220311.

It can be written as a sum of positive squares in 16 ways, for example, as 10456531126336 + 845678873664 = 3233656^2 + 919608^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1089994816 + ... + 1090005184.

Almost surely, 2^{11302210000000} is an apocalyptic number.

11302210000000 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 11302210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203015398000).

11302210000000 is an abundant number, since it is smaller than the sum of its proper divisors (17103820796000).

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

11302210000000 is an frugal number, since it uses more digits than its factorization.

11302210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 11302210000000 its reverse (1220311), we get a palindrome (11302211220311).

The spelling of 11302210000000 in words is "eleven trillion, three hundred two billion, two hundred ten million", and thus it is an aban number.