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12101232121 = 1123211397571
BaseRepresentation
bin10110100010100101…
…00010010111111001
31011020100121021201021
423101102202113321
5144240403411441
65320443222441
7605610530056
oct132122422771
934210537637
1012101232121
11514a914890
122418817a21
1311ab11a0a4
1482b25002d
154ac5ba3d1
hex2d14a25f9

12101232121 has 32 divisors (see below), whose sum is σ = 13899764736. Its totient is φ = 10428264000.

The previous prime is 12101232083. The next prime is 12101232131. The reversal of 12101232121 is 12123210121.

12101232121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12101232121 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 12101232121 - 213 = 12101223929 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 = 12101232095 and 12101232104.

It is not an unprimeable number, because it can be changed into a prime (12101232131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21192766 + ... + 21193336.

It is an arithmetic number, because the mean of its divisors is an integer number (434367648).

Almost surely, 212101232121 is an apocalyptic number.

12101232121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101232121 is a deficient number, since it is larger than the sum of its proper divisors (1798532615).

12101232121 is a wasteful number, since it uses less digits than its factorization.

12101232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12101232121 its reverse (12123210121), we get a palindrome (24224442242).

The spelling of 12101232121 in words is "twelve billion, one hundred one million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 23 211 253 397 571 2321 4367 4853 6281 9131 13133 53383 83767 100441 120481 144463 226687 921437 1325291 1926641 2493557 2771063 5213801 21193051 30481693 47830957 57351811 526140527 1100112011 12101232121