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12123232121 = 7112136716433
BaseRepresentation
bin10110100101001100…
…11101011101111001
31011021220000000001002
423102212131131321
5144312021411441
65322550534345
7606265526030
oct132246353571
934256000032
1012123232121
115161280800
1224240673b5
1311b2850940
14830139717
154ae4b3b9b
hex2d299d779

12123232121 has 48 divisors (see below), whose sum is σ = 16646458752. Its totient is φ = 8589335040.

The previous prime is 12123232111. The next prime is 12123232139.

12123232121 is nontrivially palindromic in base 10.

12123232121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 12123232121 - 26 = 12123232057 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12123232093 and 12123232102.

It is not an unprimeable number, because it can be changed into a prime (12123232111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729521 + ... + 745953.

It is an arithmetic number, because the mean of its divisors is an integer number (346801224).

Almost surely, 212123232121 is an apocalyptic number.

12123232121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12123232121 is a deficient number, since it is larger than the sum of its proper divisors (4523226631).

12123232121 is a wasteful number, since it uses less digits than its factorization.

12123232121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16542 (or 16531 counting only the distinct ones).

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

The spelling of 12123232121 in words is "twelve billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 67 77 91 121 143 469 737 847 871 1001 1573 5159 6097 8107 9581 11011 16433 56749 67067 105391 115031 180763 213629 737737 1101011 1265341 1495403 1988393 2349919 7707077 12111121 13918751 14313143 16449433 25849109 84777847 100192001 133222331 157444573 180943763 932556317 1102112011 1731890303 12123232121