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12122122122001 = 64118911266961
BaseRepresentation
bin1011000001100110011011…
…0010000111001100010001
31120220212022112101200102001
42300121212302013030101
53042102101230401001
641440454230554001
72360536325636353
oct260314662071421
946825275350361
1012122122122001
113953a65a07661
121439422208901
1369c15a43c038
142dc9dcacd0d3
151604ce35d001
hexb0666c87311

12122122122001 has 4 divisors (see below), whose sum is σ = 12141033389604. Its totient is φ = 12103210854400.

The previous prime is 12122122121983. The next prime is 12122122122067. The reversal of 12122122122001 is 10022122122121.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5950867513600 + 6171254608401 = 2439440^2 + 2484201^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122122122001 - 29 = 12122122121489 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122122122001.

It is not an unprimeable number, because it can be changed into a prime (12122122122401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9455632840 + ... + 9455634121.

It is an arithmetic number, because the mean of its divisors is an integer number (3035258347401).

Almost surely, 212122122122001 is an apocalyptic number.

It is an amenable number.

12122122122001 is a deficient number, since it is larger than the sum of its proper divisors (18911267603).

12122122122001 is an equidigital number, since it uses as much as digits as its factorization.

12122122122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18911267602.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12122122122001 its reverse (10022122122121), we get a palindrome (22144244244122).

It can be divided in two parts, 121 and 22122122001, that added together give a palindrome (22122122122).

The spelling of 12122122122001 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one".

Divisors: 1 641 18911266961 12122122122001