Search a number
-
+
12000001122121 = 311814079524309
BaseRepresentation
bin1010111010011111011111…
…0011011101111101001001
31120111012002201012010001111
42232213313303131331021
53033102000241401441
641304420250050321
72345654133365005
oct256476763357511
946435081163044
1012000001122121
113907198880981
1214198201199a1
136907979c356c
142d6b35bd1705
1515c233093081
hexae9f7cddf49

12000001122121 has 16 divisors (see below), whose sum is σ = 12458612275200. Its totient is φ = 11545891329600.

The previous prime is 12000001122103. The next prime is 12000001122139. The reversal of 12000001122121 is 12122110000021.

It is an interprime number because it is at equal distance from previous prime (12000001122103) and next prime (12000001122139).

It is a cyclic number.

It is not a de Polignac number, because 12000001122121 - 213 = 12000001113929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000001122821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22625115 + ... + 23149423.

It is an arithmetic number, because the mean of its divisors is an integer number (778663267200).

Almost surely, 212000001122121 is an apocalyptic number.

It is an amenable number.

12000001122121 is a deficient number, since it is larger than the sum of its proper divisors (458611153079).

12000001122121 is a wasteful number, since it uses less digits than its factorization.

12000001122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528600.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12000001122121 its reverse (12122110000021), we get a palindrome (24122111122142).

The spelling of 12000001122121 in words is "twelve trillion, one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 31 181 4079 5611 126449 524309 738299 16253579 22887269 94899929 2138656411 2941897799 66298348741 387096810391 12000001122121