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12216659841 = 34122812
BaseRepresentation
bin10110110000010101…
…10110111110000001
31011112101210121210000
423120022312332001
5200004431103331
65340125230213
7611511616041
oct133012667601
934471717700
1012216659841
1151a9a933a1
12244b402369
1311c9002b09
1483c6d9721
154b77bb0e6
hex2d82b6f81

12216659841 has 15 divisors (see below), whose sum is σ = 18251064403. Its totient is φ = 8143776720.

The previous prime is 12216659827. The next prime is 12216659879. The reversal of 12216659841 is 14895661221.

The square root of 12216659841 is 110529.

It is a perfect power (a square), and thus also a powerful number.

12216659841 is a `hidden beast` number, since 1 + 2 + 2 + 16 + 6 + 598 + 41 = 666.

12216659841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10676882241 + 1539777600 = 103329^2 + 39240^2 .

It is not a de Polignac number, because 12216659841 - 25 = 12216659809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12216659041) 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 14 ways as a sum of consecutive naturals, for example, 988621 + ... + 1000901.

Almost surely, 212216659841 is an apocalyptic number.

12216659841 is the 110529-th square number.

12216659841 is the 55265-th centered octagonal number.

It is an amenable number.

12216659841 is a deficient number, since it is larger than the sum of its proper divisors (6034404562).

12216659841 is an frugal number, since it uses more digits than its factorization.

12216659841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24574 (or 12284 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 12216659841 in words is "twelve billion, two hundred sixteen million, six hundred fifty-nine thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 12281 36843 110529 331587 994761 150822961 452468883 1357406649 4072219947 12216659841