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12337120340 = 2251795636121
BaseRepresentation
bin10110111110101100…
…11000010001010100
31011211210110122111222
423133112120101110
5200231300322330
65400111145512
7614503535606
oct133726302124
934753418458
1012337120340
115260a8a126
122483815298
131217c5b50c
148506d5176
154c31630e5
hex2df598454

12337120340 has 48 divisors (see below), whose sum is σ = 26103228480. Its totient is φ = 4897762560.

The previous prime is 12337120339. The next prime is 12337120343. The reversal of 12337120340 is 4302173321.

12337120340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12337120343) 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 15 ways as a sum of consecutive naturals, for example, 2012480 + ... + 2018600.

It is an arithmetic number, because the mean of its divisors is an integer number (543817260).

Almost surely, 212337120340 is an apocalyptic number.

12337120340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12337120340 is an abundant number, since it is smaller than the sum of its proper divisors (13766108140).

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

12337120340 is a wasteful number, since it uses less digits than its factorization.

12337120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 12337120340 its reverse (4302173321), we get a palindrome (16639293661).

The spelling of 12337120340 in words is "twelve billion, three hundred thirty-seven million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 179 358 563 716 895 1126 1790 2252 2815 3580 5630 6121 11260 12242 24484 30605 61210 100777 122420 201554 403108 503885 1007770 1095659 2015540 2191318 3446123 4382636 5478295 6892246 10956590 13784492 17230615 21913180 34461230 68922460 616856017 1233712034 2467424068 3084280085 6168560170 12337120340