12704227200 has 1152 divisors, whose sum is σ = 55937044800. Its totient is φ = 2683699200.

The previous prime is 12704227189. The next prime is 12704227219. The reversal of 12704227200 is 272240721.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12704227200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239702374 + ... + 239702426.

Almost surely, 2^12704227200 is an apocalyptic number.

12704227200 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 12704227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27968522400).

12704227200 is an abundant number, since it is smaller than the sum of its proper divisors (43232817600).

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

12704227200 is a wasteful number, since it uses less digits than its factorization.

12704227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 12704227200 its reverse (272240721), we get a palindrome (12976467921).

The spelling of 12704227200 in words is "twelve billion, seven hundred four million, two hundred twenty-seven thousand, two hundred".