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12807019008 = 293271920897
BaseRepresentation
bin10111110110101101…
…11001101000000000
31020001112122222022100
423323112321220000
5202212044102013
65514454510400
7632240602560
oct137326715000
936045588270
1012807019008
115482256a33
122595065400
131291404474
14896c92da0
154ee532473
hex2fb5b9a00

12807019008 has 240 divisors, whose sum is σ = 44467600320. Its totient is φ = 3466395648.

The previous prime is 12807018977. The next prime is 12807019009. The reversal of 12807019008 is 80091070821.

12807019008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12807019009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602416 + ... + 623312.

It is an arithmetic number, because the mean of its divisors is an integer number (185281668).

Almost surely, 212807019008 is an apocalyptic number.

12807019008 is a gapful number since it is divisible by the number (18) 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 12807019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233800160).

12807019008 is an abundant number, since it is smaller than the sum of its proper divisors (31660581312).

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

12807019008 is a wasteful number, since it uses less digits than its factorization.

12807019008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20947 (or 20928 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 12807019008 its reverse (80091070821), we get a palindrome (92898089829).

The spelling of 12807019008 in words is "twelve billion, eight hundred seven million, nineteen thousand, eight".