Search a number
-
+
12131211213121 = 7111313331909091
BaseRepresentation
bin1011000010001000010010…
…0010001111100101000001
31120221201202222010100110111
42300202010202033211001
53042224210032304441
641445000153431321
72361310502636320
oct260420442174501
946851688110414
1012131211213121
1139578aa519310
12143b13a10b541
1369cc784b3670
142dd221c960b7
15160862287081
hexb088488f941

12131211213121 has 32 divisors (see below), whose sum is σ = 16289299547136. Its totient is φ = 8725082184000.

The previous prime is 12131211213067. The next prime is 12131211213127.

12131211213121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12131211213121 - 221 = 12131209115969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12131211213092 and 12131211213101.

It is not an unprimeable number, because it can be changed into a prime (12131211213127) 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, 12889786 + ... + 13798876.

It is an arithmetic number, because the mean of its divisors is an integer number (509040610848).

Almost surely, 212131211213121 is an apocalyptic number.

12131211213121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12131211213121 is a deficient number, since it is larger than the sum of its proper divisors (4158088334015).

12131211213121 is a wasteful number, since it uses less digits than its factorization.

12131211213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922453.

The product of its digits is 144, while the sum is 22.

Multiplying 12131211213121 by its sum of digits (22), we get a palindrome (266886646688662).

It can be divided in two parts, 1213121 and 1213121, that added together give a palindrome (2426242).

The spelling of 12131211213121 in words is "twelve trillion, one hundred thirty-one billion, two hundred eleven million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 13331 93317 146641 173303 909091 1026487 1213121 1906333 6363637 10000001 11818183 13344331 70000007 82727281 130000013 910000091 12119092121 84833644847 133310013331 157548197573 933170093317 1102837383011 1733030173303 12131211213121