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12102211121 = 71113411312251
BaseRepresentation
bin10110100010101100…
…10001011000110001
31011020102110000122112
423101112101120301
5144241131223441
65320520215105
7605622045230
oct132126213061
934212400575
1012102211121
115150423380
12241900a495
1311ab3a0890
1482b426b17
154ac7104eb
hex2d1591631

12102211121 has 64 divisors (see below), whose sum is σ = 16779958272. Its totient is φ = 8424000000.

The previous prime is 12102211103. The next prime is 12102211129. The reversal of 12102211121 is 12111220121.

It is a de Polignac number, because none of the positive numbers 2k-12102211121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12102211096 and 12102211105.

It is not an unprimeable number, because it can be changed into a prime (12102211129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5375246 + ... + 5377496.

It is an arithmetic number, because the mean of its divisors is an integer number (262186848).

Almost surely, 212102211121 is an apocalyptic number.

12102211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12102211121 is a deficient number, since it is larger than the sum of its proper divisors (4677747151).

12102211121 is a wasteful number, since it uses less digits than its factorization.

12102211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12102211121 its reverse (12111220121), we get a palindrome (24213431242).

The spelling of 12102211121 in words is "twelve billion, one hundred two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 13 41 77 91 131 143 287 451 533 917 1001 1441 1703 2251 3157 3731 5371 5863 10087 11921 15757 18733 24761 29263 37597 41041 59081 69823 92291 131131 173327 204841 294881 321893 413567 488761 646037 768053 1015201 1199783 2064167 2253251 3243691 3833453 5376371 7106407 8398481 12090121 13197613 22705837 26834171 42167983 84630847 92383291 132991331 157171573 295175881 930939317 1100201011 1728887303 12102211121