12704030400 has 168 divisors, whose sum is σ = 42697048464. Its totient is φ = 3305062400.

The previous prime is 12704030371. The next prime is 12704030407. The reversal of 12704030400 is 403040721.

It is a super-2 number, since 2×12704030400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12704030407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164524 + ... + 229076.

It is an arithmetic number, because the mean of its divisors is an integer number (254149098).

Almost surely, 2^12704030400 is an apocalyptic number.

12704030400 is a gapful number since it is divisible by the number (10) 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 12704030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21348524232).

12704030400 is an abundant number, since it is smaller than the sum of its proper divisors (29993018064).

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

12704030400 is a wasteful number, since it uses less digits than its factorization.

12704030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64619 (or 64604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 12704030400 in words is "twelve billion, seven hundred four million, thirty thousand, four hundred".