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12628801 is a prime number
BaseRepresentation
bin110000001011…
…001101000001
3212202121110101
4300023031001
511213110201
61130402401
7212225443
oct60131501
925677411
1012628801
117146229
124290401
132802283
14196a493
151196d01
hexc0b341

12628801 has 2 divisors, whose sum is σ = 12628802. Its totient is φ = 12628800.

The previous prime is 12628783. The next prime is 12628843. The reversal of 12628801 is 10882621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8708401 + 3920400 = 2951^2 + 1980^2 .

It is a cyclic number.

It is not a de Polignac number, because 12628801 - 213 = 12620609 is a prime.

It is a super-2 number, since 2×126288012 = 318973229395202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12628801.

It is not a weakly prime, because it can be changed into another prime (12628001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6314400 + 6314401.

It is an arithmetic number, because the mean of its divisors is an integer number (6314401).

Almost surely, 212628801 is an apocalyptic number.

It is an amenable number.

12628801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12628801 is an equidigital number, since it uses as much as digits as its factorization.

12628801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12628801 is about 3553.7024354889. The cubic root of 12628801 is about 232.8738410892.

The spelling of 12628801 in words is "twelve million, six hundred twenty-eight thousand, eight hundred one".