11332220133120 has 144 divisors (see below), whose sum is σ = 36805707227520. Its totient is φ = 2970706235392.

The previous prime is 11332220133119. The next prime is 11332220133131. The reversal of 11332220133120 is 2133102223311.

11332220133120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11332220133120⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24782754 + ... + 25235873.

It is an arithmetic number, because the mean of its divisors is an integer number (255595189080).

Almost surely, 2^{11332220133120} is an apocalyptic number.

11332220133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332220133120 is an abundant number, since it is smaller than the sum of its proper divisors (25473487094400).

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

11332220133120 is an equidigital number, since it uses as much as digits as its factorization.

11332220133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50018710 (or 50018696 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11332220133120 its reverse (2133102223311), we get a palindrome (13465322356431).

The spelling of 11332220133120 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty million, one hundred thirty-three thousand, one hundred twenty".