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12541132801 = 316123927749
BaseRepresentation
bin10111010111000001…
…01000000000000001
31012101000100120000001
423223200220000001
5201141012222201
65432240000001
7622531604251
oct135340500001
935330316001
1012541132801
11535616276a
122520000001
13124b2bbc52
1486d83d961
154d6011301
hex2eb828001

12541132801 has 16 divisors (see below), whose sum is σ = 13213440000. Its totient is φ = 11887243200.

The previous prime is 12541132777. The next prime is 12541132817. The reversal of 12541132801 is 10823114521.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12541132801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12541132801.

It is not an unprimeable number, because it can be changed into a prime (12541132861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438075 + ... + 465823.

It is an arithmetic number, because the mean of its divisors is an integer number (825840000).

Almost surely, 212541132801 is an apocalyptic number.

It is an amenable number.

12541132801 is a deficient number, since it is larger than the sum of its proper divisors (672307199).

12541132801 is a wasteful number, since it uses less digits than its factorization.

12541132801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28080.

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 12541132801 in words is "twelve billion, five hundred forty-one million, one hundred thirty-two thousand, eight hundred one".

Divisors: 1 31 61 239 1891 7409 14579 27749 451949 860219 1692689 6632011 52473359 205592341 404552671 12541132801