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12123141312 = 263569110969
BaseRepresentation
bin10110100101001100…
…00111010011000000
31011021212211101110210
423102212013103000
5144312011010222
65322544554120
7606265000212
oct132246072300
934255741423
1012123141312
115161219557
122424022940
1311b281b4c9
148301145b2
154ae496d0c
hex2d29874c0

12123141312 has 56 divisors (see below), whose sum is σ = 32132473200. Its totient is φ = 4033908736.

The previous prime is 12123141301. The next prime is 12123141341. The reversal of 12123141312 is 21314132121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53764 + ... + 164732.

Almost surely, 212123141312 is an apocalyptic number.

12123141312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12123141312 is an abundant number, since it is smaller than the sum of its proper divisors (20009331888).

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

12123141312 is a wasteful number, since it uses less digits than its factorization.

12123141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111553 (or 111543 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 12123141312 its reverse (21314132121), we get a palindrome (33437273433).

The spelling of 12123141312 in words is "twelve billion, one hundred twenty-three million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 569 1138 1707 2276 3414 4552 6828 9104 13656 18208 27312 36416 54624 109248 110969 221938 332907 443876 665814 887752 1331628 1775504 2663256 3551008 5326512 7102016 10653024 21306048 63141361 126282722 189424083 252565444 378848166 505130888 757696332 1010261776 1515392664 2020523552 3030785328 4041047104 6061570656 12123141312