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12211020211100 = 2252971420788609
BaseRepresentation
bin1011000110110001100110…
…0001011010001110011100
31121020100202222211111221112
42301230121201122032130
53100031132133223400
641545355405321152
72400134315140604
oct261543141321634
947210688744845
1012211020211100
113988734628787
1214526b1b661b8
136a7656b91919
14303033511c04
15162983ac7835
hexb1b1985a39c

12211020211100 has 72 divisors (see below), whose sum is σ = 26773274734080. Its totient is φ = 4833658552320.

The previous prime is 12211020211099. The next prime is 12211020211123. The reversal of 12211020211100 is 111202011221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137763596 + ... + 137852204.

Almost surely, 212211020211100 is an apocalyptic number.

12211020211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211020211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386637367040).

12211020211100 is an abundant number, since it is smaller than the sum of its proper divisors (14562254522980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211020211100 is a wasteful number, since it uses less digits than its factorization.

12211020211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102927 (or 102920 counting only the distinct ones).

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

Adding to 12211020211100 its reverse (111202011221), we get a palindrome (12322222222321).

The spelling of 12211020211100 in words is "twelve trillion, two hundred eleven billion, twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 14207 28414 56828 71035 88609 142070 177218 284140 354436 355175 443045 710350 886090 1378079 1420700 1772180 2215225 2756158 4430450 5512316 6890395 8595073 8860900 13780790 17190146 27561580 34380292 34451975 42975365 68903950 85950730 137807900 171901460 214876825 429753650 859507300 1258868063 2517736126 5035472252 6294340315 12588680630 25177361260 31471701575 62943403150 122110202111 125886806300 244220404222 488440808444 610551010555 1221102021110 2442204042220 3052755052775 6105510105550 12211020211100