12133006464 has 128 divisors (see below), whose sum is σ = 32779454400. Its totient is φ = 3975561216.

The previous prime is 12133006451. The next prime is 12133006481. The reversal of 12133006464 is 46460033121.

12133006464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11744892 + ... + 11745924.

Almost surely, 2^12133006464 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 12133006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389727200).

12133006464 is an abundant number, since it is smaller than the sum of its proper divisors (20646447936).

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

12133006464 is a wasteful number, since it uses less digits than its factorization.

12133006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12133006464 its reverse (46460033121), we get a palindrome (58593039585).

The spelling of 12133006464 in words is "twelve billion, one hundred thirty-three million, six thousand, four hundred sixty-four".