12306435720 has 128 divisors (see below), whose sum is σ = 37335513600. Its totient is φ = 3244852224.

The previous prime is 12306435709. The next prime is 12306435731. The reversal of 12306435720 is 2753460321.

It is an interprime number because it is at equal distance from previous prime (12306435709) and next prime (12306435731).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11156689 + ... + 11157791.

It is an arithmetic number, because the mean of its divisors is an integer number (291683700).

Almost surely, 2^12306435720 is an apocalyptic number.

12306435720 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 12306435720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667756800).

12306435720 is an abundant number, since it is smaller than the sum of its proper divisors (25029077880).

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

12306435720 is a wasteful number, since it uses less digits than its factorization.

12306435720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 12306435720 in words is "twelve billion, three hundred six million, four hundred thirty-five thousand, seven hundred twenty".