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12122111220 = 22354713193259
BaseRepresentation
bin10110100101000100…
…01011110011110100
31011021210220001110020
423102202023303310
5144311230024340
65322510525140
7606253150062
oct132242136364
934253801406
1012122111220
11516068563a
1224238067b0
1311b254a69b
1482dd27032
154ae3419d0
hex2d288bcf4

12122111220 has 96 divisors (see below), whose sum is σ = 34701004800. Its totient is φ = 3160416384.

The previous prime is 12122111219. The next prime is 12122111237. The reversal of 12122111220 is 2211122121.

12122111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12122111220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3717951 + ... + 3721209.

It is an arithmetic number, because the mean of its divisors is an integer number (361468800).

Almost surely, 212122111220 is an apocalyptic number.

12122111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350502400).

12122111220 is an abundant number, since it is smaller than the sum of its proper divisors (22578893580).

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

12122111220 is a wasteful number, since it uses less digits than its factorization.

12122111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122111220 its reverse (2211122121), we get a palindrome (14333233341).

The spelling of 12122111220 in words is "twelve billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1319 1410 2638 2820 3259 3957 5276 6518 6595 7914 9777 13036 13190 15828 16295 19554 19785 26380 32590 39108 39570 48885 61993 65180 79140 97770 123986 153173 185979 195540 247972 306346 309965 371958 459519 612692 619930 743916 765865 919038 929895 1239860 1531730 1838076 1859790 2297595 3063460 3719580 4298621 4595190 8597242 9190380 12895863 17194484 21493105 25791726 42986210 51583452 64479315 85972420 128958630 202035187 257917260 404070374 606105561 808140748 1010175935 1212211122 2020351870 2424422244 3030527805 4040703740 6061055610 12122111220