11331132000120 has 384 divisors, whose sum is σ = 38453488819200. Its totient is φ = 3000825460224.

The previous prime is 11331132000103. The next prime is 11331132000217. The reversal of 11331132000120 is 2100023113311.

11331132000120 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 320 + 0 + 0 + 12 + 0 = 666.

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 = 11331132000093 and 11331132000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3632935921 + ... + 3632939039.

It is an arithmetic number, because the mean of its divisors is an integer number (100139293800).

Almost surely, 2^{11331132000120} is an apocalyptic number.

11331132000120 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 11331132000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19226744409600).

11331132000120 is an abundant number, since it is smaller than the sum of its proper divisors (27122356819080).

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

11331132000120 is a wasteful number, since it uses less digits than its factorization.

11331132000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5585 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331132000120 its reverse (2100023113311), we get a palindrome (13431155113431).

The spelling of 11331132000120 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, one hundred twenty", and thus it is an aban number.