11322000000000 has 1320 divisors, whose sum is σ = 44438286465144. Its totient is φ = 2764800000000.

The previous prime is 11321999999957. The next prime is 11322000000007. The reversal of 11322000000000 is 22311.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 188619964416 + 11133380035584 = 434304^2 + 3336672^2 .

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 (11322000000007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 305999999982 + ... + 306000000018.

Almost surely, 2^{11322000000000} is an apocalyptic number.

11322000000000 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 11322000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219143232572).

11322000000000 is an abundant number, since it is smaller than the sum of its proper divisors (33116286465144).

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

11322000000000 is an frugal number, since it uses more digits than its factorization.

11322000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11322000000000 its reverse (22311), we get a palindrome (11322000022311).

The spelling of 11322000000000 in words is "eleven trillion, three hundred twenty-two billion", and thus it is an aban number.