12607420320 has 288 divisors, whose sum is σ = 49695871680. Its totient is φ = 2876497920.

The previous prime is 12607420313. The next prime is 12607420327. The reversal of 12607420320 is 2302470621.

12607420320 is a `hidden beast` number, since 1 + 2 + 607 + 4 + 20 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12607420313) and next prime (12607420327).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12607420327) 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, 245871 + ... + 292689.

It is an arithmetic number, because the mean of its divisors is an integer number (172555110).

Almost surely, 2^12607420320 is an apocalyptic number.

12607420320 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 12607420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847935840).

12607420320 is an abundant number, since it is smaller than the sum of its proper divisors (37088451360).

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

12607420320 is a wasteful number, since it uses less digits than its factorization.

12607420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46868 (or 46857 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12607420320 its reverse (2302470621), we get a palindrome (14909890941).

The spelling of 12607420320 in words is "twelve billion, six hundred seven million, four hundred twenty thousand, three hundred twenty".