12011133133230 has 256 divisors, whose sum is σ = 36374365274112. Its totient is φ = 2465749440000.

The previous prime is 12011133133187. The next prime is 12011133133243. The reversal of 12011133133230 is 3233133111021.

It is a self number, because there is not a number n which added to its sum of digits gives 12011133133230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107966935 + ... + 108078125.

It is an arithmetic number, because the mean of its divisors is an integer number (142087364352).

Almost surely, 2^{12011133133230} is an apocalyptic number.

12011133133230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011133133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187182637056).

12011133133230 is an abundant number, since it is smaller than the sum of its proper divisors (24363232140882).

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

12011133133230 is a wasteful number, since it uses less digits than its factorization.

12011133133230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111783.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12011133133230 its reverse (3233133111021), we get a palindrome (15244266244251).

The spelling of 12011133133230 in words is "twelve trillion, eleven billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred thirty".