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12003111312 = 2431132212963
BaseRepresentation
bin10110010110111000…
…01111000110010000
31010222111222020021020
423023130033012100
5144040244030222
65303020155440
7603306522423
oct131334170620
933874866236
1012003111312
1150aa497205
1223ab998b80
1311939b3a3a
1481c1cb9ba
154a3b8765c
hex2cb70f190

12003111312 has 40 divisors (see below), whose sum is σ = 31282459104. Its totient is φ = 3965627904.

The previous prime is 12003111311. The next prime is 12003111413. The reversal of 12003111312 is 21311130021.

It is a happy number.

It is a super-3 number, since 3×120031113123 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12003111291 and 12003111300.

It is not an unprimeable number, because it can be changed into a prime (12003111311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1101058 + ... + 1111905.

Almost surely, 212003111312 is an apocalyptic number.

12003111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12003111312 is an abundant number, since it is smaller than the sum of its proper divisors (19279347792).

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

12003111312 is a wasteful number, since it uses less digits than its factorization.

12003111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213087 (or 2213081 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12003111312 its reverse (21311130021), we get a palindrome (33314241333).

The spelling of 12003111312 in words is "twelve billion, three million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 2212963 4425926 6638889 8851852 13277778 17703704 26555556 35407408 53111112 106222224 250064819 500129638 750194457 1000259276 1500388914 2000518552 3000777828 4001037104 6001555656 12003111312