12704262120 has 192 divisors, whose sum is σ = 45398845440. Its totient is φ = 3055449600.

The previous prime is 12704262097. The next prime is 12704262121. The reversal of 12704262120 is 2126240721.

12704262120 is a `hidden beast` number, since 1 + 27 + 0 + 426 + 212 + 0 = 666.

It is a super-2 number, since 2×12704262120² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12704262121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490290 + ... + 515550.

It is an arithmetic number, because the mean of its divisors is an integer number (236452320).

Almost surely, 2^12704262120 is an apocalyptic number.

12704262120 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 12704262120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22699422720).

12704262120 is an abundant number, since it is smaller than the sum of its proper divisors (32694583320).

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

12704262120 is a wasteful number, since it uses less digits than its factorization.

12704262120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25416 (or 25409 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12704262120 in words is "twelve billion, seven hundred four million, two hundred sixty-two thousand, one hundred twenty".