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12601623121 = 257465710529
BaseRepresentation
bin10111011110001110…
…11000001001010001
31012112020011210010021
423233013120021101
5201302003414441
65442240303441
7624165013003
oct135707301121
935466153107
1012601623121
115387318a6a
122538311b81
13125a9ab139
148778a8373
154db4ae3d1
hex2ef1d8251

12601623121 has 8 divisors (see below), whose sum is σ = 12654574920. Its totient is φ = 12548702208.

The previous prime is 12601623103. The next prime is 12601623161. The reversal of 12601623121 is 12132610621.

It is a happy number.

12601623121 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 4 ways, for example, as 4908403600 + 7693219521 = 70060^2 + 87711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12601623121 - 211 = 12601621073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12601623161) 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 7 ways as a sum of consecutive naturals, for example, 1191585 + ... + 1202113.

It is an arithmetic number, because the mean of its divisors is an integer number (1581821865).

Almost surely, 212601623121 is an apocalyptic number.

It is an amenable number.

12601623121 is a deficient number, since it is larger than the sum of its proper divisors (52951799).

12601623121 is a wasteful number, since it uses less digits than its factorization.

12601623121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12601623121 in words is "twelve billion, six hundred one million, six hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 257 4657 10529 1196849 2705953 49033553 12601623121