12306627720 has 192 divisors, whose sum is σ = 41204283120. Its totient is φ = 3183224832.

The previous prime is 12306627689. The next prime is 12306627793. The reversal of 12306627720 is 2772660321.

It is a happy number.

12306627720 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 627 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8314157124 + 3992470596 = 91182^2 + 63186^2 .

It is a super-3 number, since 3×12306627720³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4967122 + ... + 4969598.

Almost surely, 2^12306627720 is an apocalyptic number.

12306627720 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 12306627720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20602141560).

12306627720 is an abundant number, since it is smaller than the sum of its proper divisors (28897655400).

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

12306627720 is a wasteful number, since it uses less digits than its factorization.

12306627720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 12306627720 in words is "twelve billion, three hundred six million, six hundred twenty-seven thousand, seven hundred twenty".