Search a number
-
+
12004114332 = 2237972336323
BaseRepresentation
bin10110010111000000…
…00011111110011100
31010222120212012011010
423023200003332130
5144041023124312
65303053455220
7603321200610
oct131340037634
933876765133
1012004114332
115100011851
1223b01a1510
131193c75442
1481c3ad340
154a3cd493c
hex2cb803f9c

12004114332 has 96 divisors (see below), whose sum is σ = 32484920832. Its totient is φ = 3379286016.

The previous prime is 12004114327. The next prime is 12004114361. The reversal of 12004114332 is 23341140021.

12004114332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12004114299 and 12004114308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1895323 + ... + 1901645.

It is an arithmetic number, because the mean of its divisors is an integer number (338384592).

Almost surely, 212004114332 is an apocalyptic number.

12004114332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004114332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242460416).

12004114332 is an abundant number, since it is smaller than the sum of its proper divisors (20480806500).

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

12004114332 is a wasteful number, since it uses less digits than its factorization.

12004114332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12004114332 its reverse (23341140021), we get a palindrome (35345254353).

The spelling of 12004114332 in words is "twelve billion, four million, one hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 233 291 388 466 582 679 699 932 1164 1358 1398 1631 2037 2716 2796 3262 4074 4893 6323 6524 8148 9786 12646 18969 19572 22601 25292 37938 44261 45202 67803 75876 88522 90404 132783 135606 158207 177044 265566 271212 316414 474621 531132 613331 632828 949242 1226662 1473259 1839993 1898484 2453324 2946518 3679986 4293317 4419777 5893036 7359972 8586634 8839554 10312813 12879951 17173268 17679108 20625626 25759902 30938439 41251252 51519804 61876878 123753756 142906123 285812246 428718369 571624492 857436738 1000342861 1714873476 2000685722 3001028583 4001371444 6002057166 12004114332