Search a number
-
+
12230444403221 = 1119159910699091
BaseRepresentation
bin1011000111111001111101…
…0010110100101000010101
31121022012220200212201021112
42301332133102310220111
53100340422231400341
642002331045224405
72401422546064412
oct261763722645025
947265820781245
1012230444403221
1139959a2022820
121456413102105
136a9431191225
14303d5714b109
1516321e003aeb
hexb1f9f4b4a15

12230444403221 has 32 divisors (see below), whose sum is σ = 13448595456000. Its totient is φ = 11030365944000.

The previous prime is 12230444403193. The next prime is 12230444403253.

It is a happy number.

12230444403221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12230444403221 - 214 = 12230444386837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230444400221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345330886 + ... + 1345339976.

It is an arithmetic number, because the mean of its divisors is an integer number (420268608000).

Almost surely, 212230444403221 is an apocalyptic number.

12230444403221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12230444403221 is a deficient number, since it is larger than the sum of its proper divisors (1218151052779).

12230444403221 is a wasteful number, since it uses less digits than its factorization.

12230444403221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1223044 and 4403221, that added together give a palindrome (5626265).

The spelling of 12230444403221 in words is "twelve trillion, two hundred thirty billion, four hundred forty-four million, four hundred three thousand, two hundred twenty-one".

Divisors: 1 11 191 599 1069 2101 6589 9091 11759 100001 114409 204179 640331 1258499 1736381 2245969 5445509 7043641 9718279 19100191 59900599 106901069 122303221 1040092219 1345335431 1856191289 5821249121 11441014409 20418104179 64033740331 1111858582111 12230444403221