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12013342440021 = 3213214953008849
BaseRepresentation
bin1010111011010001001100…
…0000100011101001010101
31120112110112111020021122200
42232310103000203221111
53033311311131040041
641314504152515113
72346635552616366
oct256642300435125
946473474207580
1012013342440021
11391191469053a
1214203240aba99
13691b129cb700
142d763da07b6d
1515c7644661b6
hexaed13023a55

12013342440021 has 36 divisors (see below), whose sum is σ = 18916208122500. Its totient is φ = 7343209695744.

The previous prime is 12013342439953. The next prime is 12013342440037. The reversal of 12013342440021 is 12004424331021.

12013342440021 is a `hidden beast` number, since 1 + 201 + 3 + 34 + 2 + 4 + 400 + 21 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6232082859396 + 5781259580625 = 2496414^2 + 2404425^2 .

It is not a de Polignac number, because 12013342440021 - 213 = 12013342431829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013342540021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26277796 + ... + 26731053.

It is an arithmetic number, because the mean of its divisors is an integer number (525450225625).

Almost surely, 212013342440021 is an apocalyptic number.

It is an amenable number.

12013342440021 is a deficient number, since it is larger than the sum of its proper divisors (6902865682479).

12013342440021 is a wasteful number, since it uses less digits than its factorization.

12013342440021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53009030 (or 53009014 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12013342440021 its reverse (12004424331021), we get a palindrome (24017766771042).

The spelling of 12013342440021 in words is "twelve trillion, thirteen billion, three hundred forty-two million, four hundred forty thousand, twenty-one".

Divisors: 1 3 9 13 39 117 149 169 447 507 1341 1521 1937 5811 17433 25181 75543 226629 53008849 159026547 477079641 689115037 2067345111 6202035333 7898318501 8958495481 23694955503 26875486443 71084866509 80626459329 102678140513 308034421539 924103264617 1334815826669 4004447480007 12013342440021