Search a number
-
+
12003303312 = 24327111383273
BaseRepresentation
bin10110010110111001…
…11101111110010000
31010222112022222122100
423023130331332100
5144040321201222
65303024240400
7603311252250
oct131334757620
933875288570
1012003303312
1150aa608490
1223aba70100
131193a50250
1481c23b960
154a3bc44ac
hex2cb73df90

12003303312 has 240 divisors, whose sum is σ = 45103863168. Its totient is φ = 2877880320.

The previous prime is 12003303307. The next prime is 12003303343. The reversal of 12003303312 is 21330330021.

12003303312 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 330 + 331 + 2 = 666.

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

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, 102508 + ... + 185780.

Almost surely, 212003303312 is an apocalyptic number.

12003303312 is a gapful number since it is divisible by the number (12) 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 12003303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22551931584).

12003303312 is an abundant number, since it is smaller than the sum of its proper divisors (33100559856).

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

12003303312 is a wasteful number, since it uses less digits than its factorization.

12003303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83318 (or 83309 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12003303312 its reverse (21330330021), we get a palindrome (33333633333).

The spelling of 12003303312 in words is "twelve billion, three million, three hundred three thousand, three hundred twelve".