Search a number
-
+
12132223121 = 1941101271569
BaseRepresentation
bin10110100110010001…
…10000100010010001
31011022111220210101002
423103020300202101
5144321322114441
65323511351345
7606435123614
oct132310604221
934274823332
1012132223121
115166361887
122427082555
1311b467b165
148313da17b
154b018cb9b
hex2d3230891

12132223121 has 32 divisors (see below), whose sum is σ = 13283827200. Its totient is φ = 11041920000.

The previous prime is 12132223079. The next prime is 12132223183.

12132223121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12132223121 - 222 = 12128028817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132223093 and 12132223102.

It is not an unprimeable number, because it can be changed into a prime (12132223721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21321725 + ... + 21322293.

It is an arithmetic number, because the mean of its divisors is an integer number (415119600).

Almost surely, 212132223121 is an apocalyptic number.

It is an amenable number.

12132223121 is a deficient number, since it is larger than the sum of its proper divisors (1151604079).

12132223121 is a wasteful number, since it uses less digits than its factorization.

12132223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001.

The product of its digits is 288, while the sum is 20.

The spelling of 12132223121 in words is "twelve billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 19 41 101 271 569 779 1919 4141 5149 10811 11111 23329 27371 57469 78679 154199 211109 443251 520049 1091911 1122211 2356229 2929781 6322159 15574099 21322009 44768351 120121021 295907881 638538059 12132223121