12053103264 has 288 divisors, whose sum is σ = 39054113280. Its totient is φ = 3639727872.

The previous prime is 12053103263. The next prime is 12053103317. The reversal of 12053103264 is 46230135021.

12053103264 is a `hidden beast` number, since 1 + 20 + 5 + 310 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12053103263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3396339 + ... + 3399885.

It is an arithmetic number, because the mean of its divisors is an integer number (135604560).

Almost surely, 2^12053103264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12053103264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19527056640).

12053103264 is an abundant number, since it is smaller than the sum of its proper divisors (27001010016).

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

12053103264 is a wasteful number, since it uses less digits than its factorization.

12053103264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12053103264 its reverse (46230135021), we get a palindrome (58283238285).

The spelling of 12053103264 in words is "twelve billion, fifty-three million, one hundred three thousand, two hundred sixty-four".