Search a number
-
+
12206160812124 = 2232971679151419
BaseRepresentation
bin1011000110011111011111…
…1000010001100001011100
31121012220020100000110201200
42301213313320101201130
53044441204131441444
641543233255435500
72366603021005626
oct261476770214134
947186210013650
1012206160812124
113986670623374
121451776685b90
136a70611c0b06
14302ad1dadc16
1516279c195969
hexb19f7e1185c

12206160812124 has 72 divisors (see below), whose sum is σ = 30891386897280. Its totient is φ = 4063852480800.

The previous prime is 12206160812123. The next prime is 12206160812143. The reversal of 12206160812124 is 42121806160221.

12206160812124 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 6 + 1 + 608 + 1 + 21 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12206160812123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237360487 + ... + 237411905.

It is an arithmetic number, because the mean of its divisors is an integer number (429047040240).

Almost surely, 212206160812124 is an apocalyptic number.

It is an amenable number.

12206160812124 is an abundant number, since it is smaller than the sum of its proper divisors (18685226085156).

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

12206160812124 is a wasteful number, since it uses less digits than its factorization.

12206160812124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59191 (or 59186 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 12206160812124 its reverse (42121806160221), we get a palindrome (54327966972345).

The spelling of 12206160812124 in words is "twelve trillion, two hundred six billion, one hundred sixty million, eight hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 971 1942 2913 3884 5826 6791 8739 11652 13582 17478 20373 27164 34956 40746 51419 61119 81492 102838 122238 154257 205676 244476 308514 462771 617028 925542 1851084 6594061 13188122 19782183 26376244 39564366 49927849 59346549 79128732 99855698 118693098 149783547 199711396 237386196 299567094 349186429 449350641 599134188 698372858 898701282 1047559287 1396745716 1797402564 2095118574 3142677861 4190237148 6285355722 12570711444 339060022559 678120045118 1017180067677 1356240090236 2034360135354 3051540203031 4068720270708 6103080406062 12206160812124