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12131144112 = 2431913132113
BaseRepresentation
bin10110100110001001…
…01001000110110000
31011022102212222020210
423103010221012300
5144321033102422
65323432304120
7606423011043
oct132304510660
934272788223
1012131144112
11516579513a
122426842040
1311b4390ca9
148311d8c5a
154b002810c
hex2d31291b0

12131144112 has 40 divisors (see below), whose sum is σ = 31355408304. Its totient is φ = 4041570304.

The previous prime is 12131144093. The next prime is 12131144119. The reversal of 12131144112 is 21144113121.

It is a super-2 number, since 2×121311441122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12131144119) 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, 25768 + ... + 157880.

Almost surely, 212131144112 is an apocalyptic number.

12131144112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131144112 is an abundant number, since it is smaller than the sum of its proper divisors (19224264192).

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

12131144112 is a wasteful number, since it uses less digits than its factorization.

12131144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134037 (or 134031 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 12131144112 its reverse (21144113121), we get a palindrome (33275257233).

The spelling of 12131144112 in words is "twelve billion, one hundred thirty-one million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1913 3826 5739 7652 11478 15304 22956 30608 45912 91824 132113 264226 396339 528452 792678 1056904 1585356 2113808 3170712 6341424 252732169 505464338 758196507 1010928676 1516393014 2021857352 3032786028 4043714704 6065572056 12131144112