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12122312013 = 347314391571
BaseRepresentation
bin10110100101000101…
…11100110101001101
31011021211021020220000
423102202330311031
5144311302441023
65322515114513
7606254644350
oct132242746515
934254236800
1012122312013
115160802489
1224238a2a39
1311b25babb6
1482dd7a297
154ae381243
hex2d28bcd4d

12122312013 has 80 divisors (see below), whose sum is σ = 21425479680. Its totient is φ = 6684055200.

The previous prime is 12122311997. The next prime is 12122312039. The reversal of 12122312013 is 31021322121.

It is not a de Polignac number, because 12122312013 - 24 = 12122311997 is a prime.

It is a super-2 number, since 2×121223120132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122312053) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7715518 + ... + 7717088.

It is an arithmetic number, because the mean of its divisors is an integer number (267818496).

Almost surely, 212122312013 is an apocalyptic number.

It is an amenable number.

12122312013 is a deficient number, since it is larger than the sum of its proper divisors (9303167667).

12122312013 is a wasteful number, since it uses less digits than its factorization.

12122312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122312013 its reverse (31021322121), we get a palindrome (43143634134).

The spelling of 12122312013 in words is "twelve billion, one hundred twenty-two million, three hundred twelve thousand, thirteen".

Divisors: 1 3 7 9 21 27 31 63 81 93 189 217 279 439 567 651 837 1317 1571 1953 2511 3073 3951 4713 5859 9219 10997 11853 13609 14139 17577 27657 32991 35559 40827 42417 48701 82971 95263 98973 122481 127251 146103 248913 285789 296919 340907 367443 438309 689669 857367 890757 1022721 1102329 1314927 2069007 2572101 3068163 3944781 4827683 6207021 7716303 9204489 14483049 18621063 21379739 27613467 43449147 55863189 64139217 130347441 149658173 192417651 391042323 448974519 577252953 1346923557 1731758859 4040770671 12122312013