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12211321221 = 32111759912113
BaseRepresentation
bin10110101111101100…
…11111100110000101
31011112000202101120100
423113312133212011
5200002044234341
65335414554313
7611415342411
oct132766374605
934460671510
1012211321221
1151a6a77410
122449668999
1311c7b83b78
1483bb09d41
154b70b43b6
hex2d7d9f985

12211321221 has 48 divisors (see below), whose sum is σ = 20409667200. Its totient is φ = 6953256960.

The previous prime is 12211321219. The next prime is 12211321237. The reversal of 12211321221 is 12212311221.

12211321221 is a `hidden beast` number, since 122 + 1 + 1 + 321 + 221 = 666.

It is not a de Polignac number, because 12211321221 - 21 = 12211321219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12211321194 and 12211321203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211341221) 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, 1002061 + ... + 1014173.

It is an arithmetic number, because the mean of its divisors is an integer number (425201400).

Almost surely, 212211321221 is an apocalyptic number.

12211321221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211321221 is a deficient number, since it is larger than the sum of its proper divisors (8198345979).

12211321221 is a wasteful number, since it uses less digits than its factorization.

12211321221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746 (or 12743 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12211321221 its reverse (12212311221), we get a palindrome (24423632442).

The spelling of 12211321221 in words is "twelve billion, two hundred eleven million, three hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 599 1683 1797 5391 6589 10183 12113 19767 30549 36339 59301 91647 109017 112013 133243 205921 336039 399729 617763 1008117 1199187 1853289 2265131 6795393 7255687 20386179 21767061 65301183 79812557 123346679 239437671 370040037 718313013 1110120111 1356813469 4070440407 12211321221