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12138284121 = 3171937834079
BaseRepresentation
bin10110100110111111…
…11000010001011001
31011022221022201111120
423103133320101121
5144324400042441
65324245315453
7606540466305
oct132337702131
934287281446
1012138284121
115169821577
122429105b89
1311b59c0b52
14832136d05
154b0988966
hex2d37f8459

12138284121 has 64 divisors (see below), whose sum is σ = 18753638400. Its totient is φ = 6934035456.

The previous prime is 12138284113. The next prime is 12138284141. The reversal of 12138284121 is 12148283121.

It is not a de Polignac number, because 12138284121 - 23 = 12138284113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12138284141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2973760 + ... + 2977838.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 212138284121 is an apocalyptic number.

It is an amenable number.

12138284121 is a deficient number, since it is larger than the sum of its proper divisors (6615354279).

12138284121 is a wasteful number, since it uses less digits than its factorization.

12138284121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238.

The product of its digits is 6144, while the sum is 33.

The spelling of 12138284121 in words is "twelve billion, one hundred thirty-eight million, two hundred eighty-four thousand, one hundred twenty-one".

Divisors: 1 3 17 19 37 51 57 83 111 249 323 629 703 969 1411 1577 1887 2109 3071 4079 4233 4731 9213 11951 12237 26809 35853 52207 58349 69343 77501 80427 150923 156621 175047 208029 232503 338557 452769 991933 1015671 1317517 2565691 2867537 2975799 3952551 5755469 6432583 7697073 8602611 12526609 17266407 19297749 37579827 48748129 109353911 146244387 212952353 238005571 328061733 638857059 714016713 4046094707 12138284121