12138405930 has 384 divisors, whose sum is σ = 40593484800. Its totient is φ = 2565053568.

The previous prime is 12138405919. The next prime is 12138405941. The reversal of 12138405930 is 3950483121.

12138405930 is a `hidden beast` number, since 1 + 21 + 3 + 8 + 40 + 593 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12138405919) and next prime (12138405941).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10808349 + ... + 10809471.

It is an arithmetic number, because the mean of its divisors is an integer number (105712200).

Almost surely, 2^12138405930 is an apocalyptic number.

12138405930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12138405930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296742400).

12138405930 is an abundant number, since it is smaller than the sum of its proper divisors (28455078870).

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

12138405930 is a wasteful number, since it uses less digits than its factorization.

12138405930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12138405930 in words is "twelve billion, one hundred thirty-eight million, four hundred five thousand, nine hundred thirty".