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12212421221 = 7112135092179
BaseRepresentation
bin10110101111110101…
…01100001001100101
31011112002211021111002
423113322230021211
5200002334434341
65335454323045
7611430603410
oct132772541145
934462737432
1012212421221
1151a7658900
122449ab9485
1311c817a760
1483bd14b77
154b723029b
hex2d7eac265

12212421221 has 48 divisors (see below), whose sum is σ = 16561372800. Its totient is φ = 8762878080.

The previous prime is 12212421187. The next prime is 12212421229.

It is a happy number.

12212421221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12212421221 - 210 = 12212420197 is a prime.

It is a super-2 number, since 2×122124212212 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12212421193 and 12212421202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212421229) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5603510 + ... + 5605688.

It is an arithmetic number, because the mean of its divisors is an integer number (345028600).

Almost surely, 212212421221 is an apocalyptic number.

12212421221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12212421221 is a deficient number, since it is larger than the sum of its proper divisors (4348951579).

12212421221 is a wasteful number, since it uses less digits than its factorization.

12212421221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2719 counting only the distinct ones).

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

The spelling of 12212421221 in words is "twelve billion, two hundred twelve million, four hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 13 77 91 121 143 509 847 1001 1573 2179 3563 5599 6617 11011 15253 23969 28327 39193 46319 61589 72787 167783 198289 263659 311597 431123 509509 800657 1109111 1845613 2181179 3427567 5604599 7763777 12200221 14418443 23992969 85401547 100929101 134202431 158602873 939417017 1110220111 1744631603 12212421221