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12404200401 = 3253129120143
BaseRepresentation
bin10111000110101100…
…10001001111010001
31012000110200200001200
423203112101033101
5200400433403101
65410505021413
7616246651365
oct134326211721
935013620050
1012404200401
11529593639a
1224a2184869
131228b16c68
148595972a5
154c8eb3986
hex2e35913d1

12404200401 has 24 divisors (see below), whose sum is σ = 18270285696. Its totient is φ = 8106752160.

The previous prime is 12404200349. The next prime is 12404200423. The reversal of 12404200401 is 10400240421.

12404200401 is a `hidden beast` number, since 1 + 240 + 4 + 20 + 0 + 401 = 666.

12404200401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12404200401 - 27 = 12404200273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12404200441) 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 23 ways as a sum of consecutive naturals, for example, 605736 + ... + 625878.

It is an arithmetic number, because the mean of its divisors is an integer number (761261904).

Almost surely, 212404200401 is an apocalyptic number.

It is an amenable number.

12404200401 is a deficient number, since it is larger than the sum of its proper divisors (5866085295).

12404200401 is a wasteful number, since it uses less digits than its factorization.

12404200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21493 (or 21490 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12404200401 its reverse (10400240421), we get a palindrome (22804440822).

The spelling of 12404200401 in words is "twelve billion, four hundred four million, two hundred thousand, four hundred one".

Divisors: 1 3 9 53 159 477 1291 3873 11619 20143 60429 68423 181287 205269 615807 1067579 3202737 9608211 26004613 78013839 234041517 1378244489 4134733467 12404200401