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12221112211 = 7117110122133
BaseRepresentation
bin10110110000110111…
…10101111110010011
31011112201011211021121
423120123311332103
5200012101042321
65340404503111
7611564511520
oct133033657623
934481154247
1012221112211
115201554540
1224509aaa97
1311c9c01559
1483d138147
154b7d9a441
hex2d86f5f93

12221112211 has 32 divisors (see below), whose sum is σ = 15605001216. Its totient is φ = 9295440000.

The previous prime is 12221112209. The next prime is 12221112251. The reversal of 12221112211 is 11221112221.

12221112211 = 295392 + 295402 + ... + 295522.

It is not a de Polignac number, because 12221112211 - 21 = 12221112209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221112251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541101 + ... + 563233.

It is an arithmetic number, because the mean of its divisors is an integer number (487656288).

Almost surely, 212221112211 is an apocalyptic number.

12221112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221112211 is a deficient number, since it is larger than the sum of its proper divisors (3383889005).

12221112211 is a wasteful number, since it uses less digits than its factorization.

12221112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22323.

The product of its digits is 32, while the sum is 16.

Adding to 12221112211 its reverse (11221112221), we get a palindrome (23442224432).

It can be divided in two parts, 12221 and 112211, that multiplied together give a cube (1371330631 = 11113).

The spelling of 12221112211 in words is "twelve billion, two hundred twenty-one million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 7 11 71 77 101 497 707 781 1111 5467 7171 7777 22133 50197 78881 154931 243463 552167 1571443 1704241 2235433 11000101 15648031 17285873 24589763 121001111 158715743 172128341 1111010201 1745873173 12221112211