12345630 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2819520.

The previous prime is 12345623. The next prime is 12345637. The reversal of 12345630 is 3654321.

12345630 = T₂₄ + T₂₅ + ... + T₄₁₉.

It is a happy number.

12345630 is digitally balanced in base 2 and base 4, because in such bases 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 (12345623) and next prime (12345637).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 12345630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345637) 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, 68881 + ... + 69059.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^12345630 is an apocalyptic number.

12345630 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 12345630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

12345630 is an abundant number, since it is smaller than the sum of its proper divisors (22127970).

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

12345630 is a wasteful number, since it uses less digits than its factorization.

12345630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 12345630 is about 3513.6348700455. The cubic root of 12345630 is about 231.1201189338.

Adding to 12345630 its reverse (3654321), we get a palindrome (15999951).

It can be divided in two parts, 123 and 45630, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 12345630 in words is "twelve million, three hundred forty-five thousand, six hundred thirty".