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12211113211 = 11219431011223
BaseRepresentation
bin10110101111101011…
…01100110011111011
31011112000100211020021
423113311230303323
5200002021110321
65335410311311
7611413515103
oct132765546373
934460324207
1012211113211
1151a6945100
122449588537
1311c7b1029b
1483ba94203
154b7072941
hex2d7d6ccfb

12211113211 has 48 divisors (see below), whose sum is σ = 14612209920. Its totient is φ = 10162152000.

The previous prime is 12211113203. The next prime is 12211113221. The reversal of 12211113211 is 11231111221.

It is a happy number.

It is not a de Polignac number, because 12211113211 - 23 = 12211113203 is a prime.

It is a super-2 number, since 2×122111132112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9983946 + ... + 9985168.

It is an arithmetic number, because the mean of its divisors is an integer number (304421040).

Almost surely, 212211113211 is an apocalyptic number.

12211113211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12211113211 is a deficient number, since it is larger than the sum of its proper divisors (2401096709).

12211113211 is a wasteful number, since it uses less digits than its factorization.

12211113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1397 counting only the distinct ones).

The product of its digits is 24, while the sum is 16.

Adding to 12211113211 its reverse (11231111221), we get a palindrome (23442224432).

The spelling of 12211113211 in words is "twelve billion, two hundred eleven million, one hundred thirteen thousand, two hundred eleven".

Divisors: 1 11 19 43 101 121 209 473 817 1111 1223 1919 2299 4343 5203 8987 12221 13453 21109 23237 47773 52589 82517 98857 123523 147983 232199 255607 525503 578479 907687 999191 1358753 2346937 2811677 5311489 6363269 9984557 10991101 14946283 25816307 58426379 100918291 120902111 283979377 642690169 1110101201 12211113211