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12220220220021 = 3211799629162269
BaseRepresentation
bin1011000111010011110111…
…1000101010001001110101
31121021020112011021101121200
42301310331320222021311
53100204002334020041
641553520333403113
72400611310004212
oct261647570521165
947236464241550
1012220220220021
113991625808640
12145443b039499
136a8491c00298
1430366730cb09
15162d216111b6
hexb1d3de2a275

12220220220021 has 48 divisors (see below), whose sum is σ = 19501998048000. Its totient is φ = 7311640302720.

The previous prime is 12220220220017. The next prime is 12220220220067. The reversal of 12220220220021 is 12002202202221.

12220220220021 is a `hidden beast` number, since 1 + 2 + 220 + 220 + 2 + 200 + 21 = 666.

It is not a de Polignac number, because 12220220220021 - 22 = 12220220220017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12220220219976 and 12220220220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220220220071) 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, 75227275 + ... + 75389543.

It is an arithmetic number, because the mean of its divisors is an integer number (406291626000).

Almost surely, 212220220220021 is an apocalyptic number.

12220220220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220220220021 is a deficient number, since it is larger than the sum of its proper divisors (7281777827979).

12220220220021 is a wasteful number, since it uses less digits than its factorization.

12220220220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171994 (or 171991 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12220220220021 its reverse (12002202202221), we get a palindrome (24222422422242).

It can be divided in two parts, 122202202200 and 21, that added together give a palindrome (122202202221).

The spelling of 12220220220021 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, two hundred twenty thousand, twenty-one".

Divisors: 1 3 9 11 33 79 99 237 711 869 2607 7821 9629 28887 86661 105919 162269 317757 486807 760691 953271 1460421 1784959 2282073 5354877 6846219 8367601 12819251 16064631 25102803 38457753 75308409 115373259 141011761 423035283 1269105849 1562488201 4687464603 14062393809 17187370211 51562110633 123436567879 154686331899 370309703637 1110929110911 1357802246669 4073406740007 12220220220021