12412554132 has 288 divisors, whose sum is σ = 35049692160. Its totient is φ = 3406233600.

The previous prime is 12412554127. The next prime is 12412554173. The reversal of 12412554132 is 23145521421.

12412554132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12412554132.

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 95 ways as a sum of consecutive naturals, for example, 48297748 + ... + 48298004.

It is an arithmetic number, because the mean of its divisors is an integer number (121700320).

Almost surely, 2^12412554132 is an apocalyptic number.

12412554132 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 12412554132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524846080).

12412554132 is an abundant number, since it is smaller than the sum of its proper divisors (22637138028).

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

12412554132 is a wasteful number, since it uses less digits than its factorization.

12412554132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 370 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The spelling of 12412554132 in words is "twelve billion, four hundred twelve million, five hundred fifty-four thousand, one hundred thirty-two".