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12232124037 = 3578118867
BaseRepresentation
bin10110110010001011…
…10110011010000101
31011120110220021200000
423121011312122011
5200022410432122
65341440511513
7612060224130
oct133105663205
934513807600
1012232124037
115207795921
12245461b599
1311cc288823
148407a3217
154b8d230ac
hex2d9176685

12232124037 has 48 divisors (see below), whose sum is σ = 20968776192. Its totient is φ = 6980379120.

The previous prime is 12232124011. The next prime is 12232124077. The reversal of 12232124037 is 73042123221.

12232124037 is a `hidden beast` number, since 12 + 232 + 12 + 403 + 7 = 666.

12232124037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12232124037 - 26 = 12232123973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12232124037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232124077) 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 47 ways as a sum of consecutive naturals, for example, 1375078 + ... + 1383944.

It is an arithmetic number, because the mean of its divisors is an integer number (436849504).

Almost surely, 212232124037 is an apocalyptic number.

It is an amenable number.

12232124037 is a deficient number, since it is larger than the sum of its proper divisors (8736652155).

12232124037 is an frugal number, since it uses more digits than its factorization.

12232124037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12232124037 its reverse (73042123221), we get a palindrome (85274247258).

The spelling of 12232124037 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-four thousand, thirty-seven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 811 1701 2433 5677 7299 8867 17031 21897 26601 51093 62069 65691 79803 153279 186207 197073 239409 459837 558621 718227 1379511 1675863 2154681 5027589 7191137 15082767 21573411 50337959 64720233 151013877 194160699 453041631 582482097 1359124893 1747446291 4077374679 12232124037