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12122112220 = 2255776191697
BaseRepresentation
bin10110100101000100…
…01100000011011100
31011021210220002211021
423102202030003130
5144311230042340
65322510533524
7606253153021
oct132242140334
934253802737
1012122112220
115160686369
1224238072a4
1311b254ac8a
1482dd27548
154ae341e4a
hex2d288c0dc

12122112220 has 48 divisors (see below), whose sum is σ = 25556801760. Its totient is φ = 4829773824.

The previous prime is 12122112217. The next prime is 12122112221. The reversal of 12122112220 is 2221122121.

It is a happy number.

It is a super-3 number, since 3×121221122203 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122112194 and 12122112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122112221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7142412 + ... + 7144108.

It is an arithmetic number, because the mean of its divisors is an integer number (532433370).

Almost surely, 212122112220 is an apocalyptic number.

12122112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122112220 is an abundant number, since it is smaller than the sum of its proper divisors (13434689540).

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

12122112220 is a wasteful number, since it uses less digits than its factorization.

12122112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122112220 its reverse (2221122121), we get a palindrome (14343234341).

Subtracting from 12122112220 its reverse (2221122121), we obtain a palindrome (9900990099).

The spelling of 12122112220 in words is "twelve billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 577 619 1154 1238 1697 2308 2476 2885 3095 3394 5770 6190 6788 8485 11540 12380 16970 33940 357163 714326 979169 1050443 1428652 1785815 1958338 2100886 3571630 3916676 4201772 4895845 5252215 7143260 9791690 10504430 19583380 21008860 606105611 1212211222 2424422444 3030528055 6061056110 12122112220