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12072181341 = 31123910131511
BaseRepresentation
bin10110011111000111…
…01101111001011101
31011011022221100112110
423033203231321131
5144210434300331
65313524424233
7605105563653
oct131743557135
934138840473
1012072181341
115135482580
12240ab48079
1311a50b818c
1482744add3
154a9c7c946
hex2cf8ede5d

12072181341 has 32 divisors (see below), whose sum is σ = 17662095360. Its totient is φ = 7273851200.

The previous prime is 12072181307. The next prime is 12072181369. The reversal of 12072181341 is 14318127021.

It is not a de Polignac number, because 12072181341 - 27 = 12072181213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12072181299 and 12072181308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12072181301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7988776 + ... + 7990286.

It is an arithmetic number, because the mean of its divisors is an integer number (551940480).

Almost surely, 212072181341 is an apocalyptic number.

12072181341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12072181341 is a deficient number, since it is larger than the sum of its proper divisors (5589914019).

12072181341 is a wasteful number, since it uses less digits than its factorization.

12072181341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777.

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 12072181341 in words is "twelve billion, seventy-two million, one hundred eighty-one thousand, three hundred forty-one".

Divisors: 1 3 11 33 239 717 1013 1511 2629 3039 4533 7887 11143 16621 33429 49863 242107 361129 726321 1083387 1530643 2663177 3972419 4591929 7989531 11917257 16837073 50511219 365823677 1097471031 4024060447 12072181341