Search a number
-
+
12010122200001 = 3232931310945317
BaseRepresentation
bin1010111011000101001100…
…0100010100001111000001
31120112011020001210010210210
42232301103010110033001
53033233212240400001
641313212435544333
72346463011210462
oct256612304241701
946464201703723
1012010122200001
113910511973552
12141b78575b0a9
1369171b7c4443
142d7416070d69
1515c6268badd6
hexaec531143c1

12010122200001 has 32 divisors (see below), whose sum is σ = 16768414091520. Its totient is φ = 7631739340544.

The previous prime is 12010122199987. The next prime is 12010122200009. The reversal of 12010122200001 is 10000222101021.

It is a cyclic number.

It is not a de Polignac number, because 12010122200001 - 29 = 12010122199489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12010122200001.

It is not an unprimeable number, because it can be changed into a prime (12010122200009) 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 31 ways as a sum of consecutive naturals, for example, 265001995 + ... + 265047311.

It is an arithmetic number, because the mean of its divisors is an integer number (524012940360).

Almost surely, 212010122200001 is an apocalyptic number.

It is an amenable number.

12010122200001 is a deficient number, since it is larger than the sum of its proper divisors (4758291891519).

12010122200001 is a wasteful number, since it uses less digits than its factorization.

12010122200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58745.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010122200001 its reverse (10000222101021), we get a palindrome (22010344301022).

The spelling of 12010122200001 in words is "twelve trillion, ten billion, one hundred twenty-two million, two hundred thousand, one".

Divisors: 1 3 23 69 293 879 6739 13109 20217 39327 45317 135951 301507 904521 1042291 3126873 3840937 11522811 13277881 39833643 88341551 265024653 305391263 594060553 916173789 1782181659 13663392719 40990178157 174059742029 522179226087 4003374066667 12010122200001