Search a number
-
+
12000115008 = 26347347953
BaseRepresentation
bin10110010110100001…
…10011100101000000
31010222022100000010000
423023100303211000
5144034012140013
65302432040000
7603242203020
oct131320634500
933868300100
1012000115008
1150a8830022
1223aa993000
1311931a4c8b
1481ba4ba80
154a3794973
hex2cb433940

12000115008 has 280 divisors, whose sum is σ = 40813768512. Its totient is φ = 3415136256.

The previous prime is 12000115003. The next prime is 12000115037. The reversal of 12000115008 is 80051100021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000115003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12591460 + ... + 12592412.

Almost surely, 212000115008 is an apocalyptic number.

12000115008 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 12000115008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20406884256).

12000115008 is an abundant number, since it is smaller than the sum of its proper divisors (28813653504).

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

12000115008 is an equidigital number, since it uses as much as digits as its factorization.

12000115008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 12000115008 its reverse (80051100021), we get a palindrome (92051215029).

The spelling of 12000115008 in words is "twelve billion, one hundred fifteen thousand, eight".