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12221121110022 = 2331120574277963
BaseRepresentation
bin1011000111010111001110…
…0101010010000000000110
31121021022211221110100101000
42301311303211102000012
53100212324001010042
641554145554514130
72400642526310526
oct261656345220006
947238757410330
1012221121110022
113991a48298630
121454650895946
136a85a6748aa6
14303710c1b686
15162d7576674c
hexb1d73952006

12221121110022 has 32 divisors (see below), whose sum is σ = 29626960268160. Its totient is φ = 3703370033160.

The previous prime is 12221121109993. The next prime is 12221121110039. The reversal of 12221121110022 is 22001112112221.

12221121110022 is a `hidden beast` number, since 122 + 211 + 211 + 100 + 22 = 666.

It is a super-2 number, since 2×122211211100222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221121109977 and 12221121110004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10287138388 + ... + 10287139575.

It is an arithmetic number, because the mean of its divisors is an integer number (925842508380).

Almost surely, 212221121110022 is an apocalyptic number.

12221121110022 is an abundant number, since it is smaller than the sum of its proper divisors (17405839158138).

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

12221121110022 is a wasteful number, since it uses less digits than its factorization.

12221121110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574277985 (or 20574277979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12221121110022 its reverse (22001112112221), we get a palindrome (34222233222243).

The spelling of 12221121110022 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 20574277963 41148555926 61722833889 123445667778 185168501667 226317057593 370337003334 452634115186 555505505001 678951172779 1111011010002 1357902345558 2036853518337 4073707036674 6110560555011 12221121110022