12127739904 has 420 divisors, whose sum is σ = 42259588074. Its totient is φ = 3455778816.

The previous prime is 12127739849. The next prime is 12127739951. The reversal of 12127739904 is 40993772121.

It can be written as a sum of positive squares in only one way, i.e., 10160640000 + 1967099904 = 100800^2 + 44352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12127739904.

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 29 ways as a sum of consecutive naturals, for example, 32513862 + ... + 32514234.

Almost surely, 2^12127739904 is an apocalyptic number.

12127739904 is a gapful number since it is divisible by the number (14) 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 12127739904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21129794037).

12127739904 is an abundant number, since it is smaller than the sum of its proper divisors (30131848170).

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

12127739904 is an frugal number, since it uses more digits than its factorization.

12127739904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12127739904 in words is "twelve billion, one hundred twenty-seven million, seven hundred thirty-nine thousand, nine hundred four".