11331122001120 has 72 divisors (see below), whose sum is σ = 38667453833736. Its totient is φ = 3021632533248.

The previous prime is 11331122001071. The next prime is 11331122001137. The reversal of 11331122001120 is 2110022113311.

11331122001120 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 220 + 0 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11331122001093 and 11331122001102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3934415922 + ... + 3934418801.

It is an arithmetic number, because the mean of its divisors is an integer number (537047969913).

Almost surely, 2^{11331122001120} is an apocalyptic number.

11331122001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331122001120 is an abundant number, since it is smaller than the sum of its proper divisors (27336331832616).

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

11331122001120 is a wasteful number, since it uses less digits than its factorization.

11331122001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7868834744 (or 7868834733 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11331122001120 its reverse (2110022113311), we get a palindrome (13441144114431).

The spelling of 11331122001120 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, one thousand, one hundred twenty".