12700830 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 3184896.

The previous prime is 12700823. The next prime is 12700837. The reversal of 12700830 is 3800721.

12700830 = 171² + 172² + ... + 350².

12700830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12700823) and next prime (12700837).

It is a super-2 number, since 2×12700830² = 322622165377800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12700797 and 12700806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12700837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54394 + ... + 54626.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 2^12700830 is an apocalyptic number.

12700830 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 12700830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

12700830 is an abundant number, since it is smaller than the sum of its proper divisors (19647330).

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

12700830 is a wasteful number, since it uses less digits than its factorization.

12700830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12700830 is about 3563.8223861466. The cubic root of 12700830 is about 233.3157379022.

It can be divided in two parts, 12700 and 830, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12700830 in words is "twelve million, seven hundred thousand, eight hundred thirty".