11322132401200 has 120 divisors (see below), whose sum is σ = 27545376715200. Its totient is φ = 4471728814080.

The previous prime is 11322132401189. The next prime is 11322132401267. The reversal of 11322132401200 is 210423122311.

It is a super-2 number, since 2×11322132401200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25375234 + ... + 25817566.

It is an arithmetic number, because the mean of its divisors is an integer number (229544805960).

Almost surely, 2^{11322132401200} is an apocalyptic number.

11322132401200 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 11322132401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772688357600).

11322132401200 is an abundant number, since it is smaller than the sum of its proper divisors (16223244314000).

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

11322132401200 is a wasteful number, since it uses less digits than its factorization.

11322132401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443159 (or 443148 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11322132401200 its reverse (210423122311), we get a palindrome (11532555523511).

The spelling of 11322132401200 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirty-two million, four hundred one thousand, two hundred".