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12420544401 = 33460020163
BaseRepresentation
bin10111001000101001…
…00111011110010001
31012001121110000211000
423210110213132101
5200414124410101
65412251212213
7616535612466
oct134424473621
935047400730
1012420544401
1152a4089931
1224a7747069
13122c31a275
1485b80d66d
154ca641486
hex2e4527791

12420544401 has 8 divisors (see below), whose sum is σ = 18400806560. Its totient is φ = 8280362916.

The previous prime is 12420544391. The next prime is 12420544429. The reversal of 12420544401 is 10444502421.

12420544401 is a `hidden beast` number, since 12 + 4 + 205 + 4 + 440 + 1 = 666.

12420544401 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 12420544401 - 26 = 12420544337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 460020163 = 12420544401 / (1 + 2 + 4 + 2 + 0 + 5 + 4 + 4 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12420544481) 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, 230010055 + ... + 230010108.

It is an arithmetic number, because the mean of its divisors is an integer number (2300100820).

Almost surely, 212420544401 is an apocalyptic number.

It is an amenable number.

12420544401 is a deficient number, since it is larger than the sum of its proper divisors (5980262159).

12420544401 is an equidigital number, since it uses as much as digits as its factorization.

12420544401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460020172 (or 460020166 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 12420544401 in words is "twelve billion, four hundred twenty million, five hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 27 460020163 1380060489 4140181467 12420544401