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12222011022221 = 71113101311388711
BaseRepresentation
bin1011000111011010100010…
…1000000001101110001101
31121021102010221222120102002
42301312220220001232031
53100221134310202341
641554414144442045
72401003553402660
oct261665050015615
947242127876362
1012222011022221
11399236465a860
12145485a919325
136a86b8c1c960
143037970ad6d7
15162dc894e29b
hexb1da8a01b8d

12222011022221 has 64 divisors (see below), whose sum is σ = 16625778204672. Its totient is φ = 8676007200000.

The previous prime is 12222011022187. The next prime is 12222011022257.

12222011022221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-12222011022221 is a prime.

It is a super-2 number, since 2×122220110222212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12222011022193 and 12222011022202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222011022421) 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, 31248056 + ... + 31636766.

It is an arithmetic number, because the mean of its divisors is an integer number (259777784448).

Almost surely, 212222011022221 is an apocalyptic number.

12222011022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12222011022221 is a deficient number, since it is larger than the sum of its proper divisors (4403767182451).

12222011022221 is a wasteful number, since it uses less digits than its factorization.

12222011022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389154.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 1222201 and 1022221, that added together give a palindrome (2244422).

The spelling of 12222011022221 in words is "twelve trillion, two hundred twenty-two billion, eleven million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 101 143 311 707 1001 1111 1313 2177 3421 4043 7777 9191 14443 23947 28301 31411 44473 101101 219877 311311 345521 388711 408343 2418647 2720977 2858401 4275821 4491773 5053243 29930747 31442411 35372701 39259811 55585673 120889121 274818677 389099711 431857921 510377543 846223847 1329780331 1571558573 3023005447 3572642801 5614152973 9308462317 11000910011 12209801221 17287144303 39299070811 85468608547 121010010121 134307813431 158727415873 940154694017 1111091911111 1746001574603 12222011022221