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124241334312 = 23323781728793
BaseRepresentation
bin111001110110101011…
…1000101000000101000
3102212200120222201101110
41303231113011000220
54013421240144222
6133024202550320
711655546626364
oct1635527050050
9385616881343
10124241334312
1148765aa3397
12200b42083a0
13b93cb06044
14602875c2a4
1533724ec30c
hex1ced5c5028

124241334312 has 64 divisors (see below), whose sum is σ = 324160548480. Its totient is φ = 39606735872.

The previous prime is 124241334271. The next prime is 124241334317. The reversal of 124241334312 is 213433142421.

It is a super-3 number, since 3×1242413343123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 124241334312.

It is not an unprimeable number, because it can be changed into a prime (124241334317) 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, 4300588 + ... + 4329380.

It is an arithmetic number, because the mean of its divisors is an integer number (5065008570).

Almost surely, 2124241334312 is an apocalyptic number.

124241334312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124241334312 is an abundant number, since it is smaller than the sum of its proper divisors (199919214168).

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

124241334312 is a wasteful number, since it uses less digits than its factorization.

124241334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36642 (or 36638 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 124241334312 its reverse (213433142421), we get a palindrome (337674476733).

The spelling of 124241334312 in words is "one hundred twenty-four billion, two hundred forty-one million, three hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 7817 15634 23451 28793 31268 46902 57586 62536 86379 93804 115172 172758 179791 187608 230344 345516 359582 539373 662239 691032 719164 1078746 1324478 1438328 1986717 2157492 2648956 3973434 4314984 5297912 7946868 15893736 225074881 450149762 675224643 900299524 1350449286 1800599048 2700898572 5176722263 5401797144 10353444526 15530166789 20706889052 31060333578 41413778104 62120667156 124241334312