Search a number
-
+
12010101200121 = 3371136841139967
BaseRepresentation
bin1010111011000101000111…
…0100001101010011111001
31120112011011121021020101110
42232301101310031103321
53033233141401400441
641313210405510533
72346462334545363
oct256612164152371
946464147236343
1012010101200121
11391050102aa82
12141b77a712449
13691717350b8b
142d7413365d33
1515c624b1db16
hexaec51d0d4f9

12010101200121 has 32 divisors (see below), whose sum is σ = 16594350778368. Its totient is φ = 7720211036160.

The previous prime is 12010101200117. The next prime is 12010101200161. The reversal of 12010101200121 is 12100210101021.

It is not a de Polignac number, because 12010101200121 - 22 = 12010101200117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12010101200097 and 12010101200106.

It is not an unprimeable number, because it can be changed into a prime (12010101200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85736680 + ... + 85876646.

It is an arithmetic number, because the mean of its divisors is an integer number (518573461824).

Almost surely, 212010101200121 is an apocalyptic number.

It is an amenable number.

12010101200121 is a deficient number, since it is larger than the sum of its proper divisors (4584249578247).

12010101200121 is a wasteful number, since it uses less digits than its factorization.

12010101200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146961.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12010101200121 its reverse (12100210101021), we get a palindrome (24110311301142).

The spelling of 12010101200121 in words is "twelve trillion, ten billion, one hundred one million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 37 111 113 339 4181 6841 12543 20523 139967 253117 419901 759351 773033 2319099 5178779 15536337 15816271 28602221 47448813 85806663 585202027 957514247 1755606081 2872542741 35428027139 106284081417 108199109911 324597329733 4003367066707 12010101200121