Search a number
-
+
12012143204432 = 2471492273170957
BaseRepresentation
bin1010111011001100101110…
…0001110101100001010000
31120112100102220122210200202
42232303023201311201100
53033301332130020212
641314145153034332
72346564051363620
oct256631341654120
946470386583622
1012012143204432
113911359757048
12142004a5559a8
13691981414157
142d7568636880
1515c6e402c0c2
hexaeccb875850

12012143204432 has 80 divisors (see below), whose sum is σ = 26894797372800. Its totient is φ = 5090982541824.

The previous prime is 12012143204387. The next prime is 12012143204437. The reversal of 12012143204432 is 23440234121021.

It is a junction number, because it is equal to n+sod(n) for n = 12012143204395 and 12012143204404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012143204437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2202698 + ... + 5373654.

It is an arithmetic number, because the mean of its divisors is an integer number (336184967160).

Almost surely, 212012143204432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012143204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447398686400).

12012143204432 is an abundant number, since it is smaller than the sum of its proper divisors (14882654168368).

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

12012143204432 is a wasteful number, since it uses less digits than its factorization.

12012143204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171348 (or 3171342 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 12012143204432 its reverse (23440234121021), we get a palindrome (35452377325453).

The spelling of 12012143204432 in words is "twelve trillion, twelve billion, one hundred forty-three million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 227 298 454 596 908 1043 1192 1589 1816 2086 2384 3178 3632 4172 6356 8344 12712 16688 25424 33823 67646 135292 236761 270584 473522 541168 947044 1894088 3170957 3788176 6341914 12683828 22196699 25367656 44393398 50735312 88786796 177573592 355147184 472472593 719807239 944945186 1439614478 1889890372 2879228956 3307308151 3779780744 5038650673 5758457912 6614616302 7559561488 10077301346 11516915824 13229232604 20154602692 26458465208 40309205384 52916930416 80618410768 107251278611 214502557222 429005114444 750758950277 858010228888 1501517900554 1716020457776 3003035801108 6006071602216 12012143204432