12064614012 has 120 divisors (see below), whose sum is σ = 34659036720. Its totient is φ = 3629111040.

The previous prime is 12064613993. The next prime is 12064614049. The reversal of 12064614012 is 21041646021.

12064614012 is a `hidden beast` number, since 1 + 2 + 0 + 646 + 1 + 4 + 0 + 12 = 666.

It is a super-2 number, since 2×12064614012² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 475914 + ... + 500622.

It is an arithmetic number, because the mean of its divisors is an integer number (288825306).

Almost surely, 2^12064614012 is an apocalyptic number.

12064614012 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 12064614012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329518360).

12064614012 is an abundant number, since it is smaller than the sum of its proper divisors (22594422708).

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

12064614012 is a wasteful number, since it uses less digits than its factorization.

12064614012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24873 (or 24862 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12064614012 in words is "twelve billion, sixty-four million, six hundred fourteen thousand, twelve".