12132405012 has 96 divisors (see below), whose sum is σ = 35161772800. Its totient is φ = 3170368512.

The previous prime is 12132404983. The next prime is 12132405023. The reversal of 12132405012 is 21050423121.

12132405012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12132405012.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 68064 + ... + 169992.

Almost surely, 2^12132405012 is an apocalyptic number.

12132405012 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 12132405012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580886400).

12132405012 is an abundant number, since it is smaller than the sum of its proper divisors (23029367788).

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

12132405012 is a wasteful number, since it uses less digits than its factorization.

12132405012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102065 (or 102063 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 12132405012 its reverse (21050423121), we get a palindrome (33182828133).

The spelling of 12132405012 in words is "twelve billion, one hundred thirty-two million, four hundred five thousand, twelve".