12011332320 has 768 divisors, whose sum is σ = 50112276480. Its totient is φ = 2656862208.

The previous prime is 12011332279. The next prime is 12011332321. The reversal of 12011332320 is 2323311021.

12011332320 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 332 + 320 = 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 = 12011332293 and 12011332302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011332321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21958287 + ... + 21958833.

It is an arithmetic number, because the mean of its divisors is an integer number (65250360).

Almost surely, 2^12011332320 is an apocalyptic number.

12011332320 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 12011332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056138240).

12011332320 is an abundant number, since it is smaller than the sum of its proper divisors (38100944160).

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

12011332320 is a wasteful number, since it uses less digits than its factorization.

12011332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12011332320 its reverse (2323311021), we get a palindrome (14334643341).

The spelling of 12011332320 in words is "twelve billion, eleven million, three hundred thirty-two thousand, three hundred twenty".