11332101220000 has 960 divisors, whose sum is σ = 32852803737600. Its totient is φ = 3803120640000.

The previous prime is 11332101219991. The next prime is 11332101220007. The reversal of 11332101220000 is 2210123311.

11332101220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11332101220007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30877659817 + ... + 30877660183.

It is an arithmetic number, because the mean of its divisors is an integer number (34221670560).

Almost surely, 2^{11332101220000} is an apocalyptic number.

11332101220000 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 11332101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426401868800).

11332101220000 is an abundant number, since it is smaller than the sum of its proper divisors (21520702517600).

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

11332101220000 is a wasteful number, since it uses less digits than its factorization.

11332101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11332101220000 its reverse (2210123311), we get a palindrome (11334311343311).

The spelling of 11332101220000 in words is "eleven trillion, three hundred thirty-two billion, one hundred one million, two hundred twenty thousand".