12011332233312 has 144 divisors (see below), whose sum is σ = 34870131262512. Its totient is φ = 3920791772160.

The previous prime is 12011332233239. The next prime is 12011332233349. The reversal of 12011332233312 is 21333223311021.

12011332233312 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 3 + 322 + 3 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481978 + ... + 5493894.

It is an arithmetic number, because the mean of its divisors is an integer number (242153689323).

Almost surely, 2^{12011332233312} is an apocalyptic number.

12011332233312 is a gapful number since it is divisible by the number (12) 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 12011332233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435065631256).

12011332233312 is an abundant number, since it is smaller than the sum of its proper divisors (22858799029200).

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

12011332233312 is a wasteful number, since it uses less digits than its factorization.

12011332233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012221 (or 3012210 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12011332233312 its reverse (21333223311021), we get a palindrome (33344555544333).

The spelling of 12011332233312 in words is "twelve trillion, eleven billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred twelve".