12413066000 has 80 divisors (see below), whose sum is σ = 30426313008. Its totient is φ = 4897152000.

The previous prime is 12413065961. The next prime is 12413066047. The reversal of 12413066000 is 66031421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4439290384 + 7973775616 = 66628^2 + 89296^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 103490 + ... + 188510.

Almost surely, 2^12413066000 is an apocalyptic number.

12413066000 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 12413066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213156504).

12413066000 is an abundant number, since it is smaller than the sum of its proper divisors (18013247008).

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

12413066000 is an equidigital number, since it uses as much as digits as its factorization.

12413066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85117 (or 85101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12413066000 its reverse (66031421), we get a palindrome (12479097421).

The spelling of 12413066000 in words is "twelve billion, four hundred thirteen million, sixty-six thousand".