12345810720 has 384 divisors, whose sum is σ = 42807937536. Its totient is φ = 2978021376.

The previous prime is 12345810691. The next prime is 12345810721. The reversal of 12345810720 is 2701854321.

It is not an unprimeable number, because it can be changed into a prime (12345810721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31097562 + ... + 31097958.

It is an arithmetic number, because the mean of its divisors is an integer number (111479004).

Almost surely, 2^12345810720 is an apocalyptic number.

12345810720 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 12345810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21403968768).

12345810720 is an abundant number, since it is smaller than the sum of its proper divisors (30462126816).

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

12345810720 is a wasteful number, since it uses less digits than its factorization.

12345810720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 12345810720 in words is "twelve billion, three hundred forty-five million, eight hundred ten thousand, seven hundred twenty".