12011023245312 has 2688 divisors, whose sum is σ = 48363748392960. Its totient is φ = 2782459330560.

The previous prime is 12011023245239. The next prime is 12011023245349. The reversal of 12011023245312 is 21354232011021.

It is a happy number.

12011023245312 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 102 + 3 + 24 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 152038268889 + ... + 152038268967.

It is an arithmetic number, because the mean of its divisors is an integer number (17992465920).

Almost surely, 2^{12011023245312} is an apocalyptic number.

12011023245312 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 12011023245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24181874196480).

12011023245312 is an abundant number, since it is smaller than the sum of its proper divisors (36352725147648).

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

12011023245312 is a wasteful number, since it uses less digits than its factorization.

12011023245312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12011023245312 its reverse (21354232011021), we get a palindrome (33365255256333).

The spelling of 12011023245312 in words is "twelve trillion, eleven billion, twenty-three million, two hundred forty-five thousand, three hundred twelve".