Search a number
-
+
12132244023204 = 22319221131325419
BaseRepresentation
bin1011000010001100001000…
…0110000110011110100100
31120221211102221112112112210
42300203002012012132210
53042233313432220304
641445250450243420
72361345213451404
oct260430206063644
946854387475483
1012132244023204
11395828a511868
12143b387b86570
136a00b146a8a6
142dd2bd104804
151608c2c99c89
hexb08c21867a4

12132244023204 has 72 divisors (see below), whose sum is σ = 29891073303840. Its totient is φ = 3829418892288.

The previous prime is 12132244023203. The next prime is 12132244023247. The reversal of 12132244023204 is 40232044223121.

It is not an unprimeable number, because it can be changed into a prime (12132244023203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8490807 + ... + 9816225.

Almost surely, 212132244023204 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 12132244023204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945536651920).

12132244023204 is an abundant number, since it is smaller than the sum of its proper divisors (17758829280636).

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

12132244023204 is a wasteful number, since it uses less digits than its factorization.

12132244023204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327577 (or 1327556 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12132244023204 its reverse (40232044223121), we get a palindrome (52364288246325).

The spelling of 12132244023204 in words is "twelve trillion, one hundred thirty-two billion, two hundred forty-four million, twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2113 2166 4226 4332 6339 8452 12678 25356 40147 80294 120441 160588 240882 481764 762793 1325419 1525586 2288379 2650838 3051172 3976257 4576758 5301676 7952514 9153516 15905028 25182961 50365922 75548883 100731844 151097766 302195532 478476259 956952518 1435428777 1913905036 2800610347 2870857554 5601220694 5741715108 8401831041 11202441388 16803662082 33607324164 53211596593 106423193186 159634789779 212846386372 319269579558 638539159116 1011020335267 2022040670534 3033061005801 4044081341068 6066122011602 12132244023204