12345180 has 48 divisors (see below), whose sum is σ = 35143584. Its totient is φ = 3237120.

The previous prime is 12345169. The next prime is 12345191. The reversal of 12345180 is 8154321.

It is an interprime number because it is at equal distance from previous prime (12345169) and next prime (12345191).

It is a self number, because there is not a number n which added to its sum of digits gives 12345180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1974 + ... + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (732158).

Almost surely, 2^12345180 is an apocalyptic number.

12345180 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 12345180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571792).

12345180 is an abundant number, since it is smaller than the sum of its proper divisors (22798404).

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

12345180 is a wasteful number, since it uses less digits than its factorization.

12345180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12345180 is about 3513.5708332123. The cubic root of 12345180 is about 231.1173107791.

The spelling of 12345180 in words is "twelve million, three hundred forty-five thousand, one hundred eighty".