Search a number
-
+
12041221601 = 1717339710313
BaseRepresentation
bin10110011011011011…
…00111010111100001
31011002011200102202102
423031231213113201
5144130023042401
65310501100145
7604251460223
oct131555472741
934064612672
1012041221601
115119a57012
1224006b7655
13119b8683c6
148232ac413
154a71b456b
hex2cdb675e1

12041221601 has 16 divisors (see below), whose sum is σ = 12856772304. Its totient is φ = 11237935104.

The previous prime is 12041221589. The next prime is 12041221613. The reversal of 12041221601 is 10612214021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12041221589) and next prime (12041221613).

It can be written as a sum of positive squares in 8 ways, for example, as 2093154001 + 9948067600 = 45751^2 + 99740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12041221601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12041221691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162421 + ... + 1172733.

It is an arithmetic number, because the mean of its divisors is an integer number (803548269).

Almost surely, 212041221601 is an apocalyptic number.

It is an amenable number.

12041221601 is a deficient number, since it is larger than the sum of its proper divisors (815550703).

12041221601 is a wasteful number, since it uses less digits than its factorization.

12041221601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12041221601 its reverse (10612214021), we get a palindrome (22653435622).

The spelling of 12041221601 in words is "twelve billion, forty-one million, two hundred twenty-one thousand, six hundred one".

Divisors: 1 17 173 397 2941 6749 10313 68681 175321 1167577 1784149 4094261 30330533 69602437 708307153 12041221601