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12021202202220 = 2232593771274767
BaseRepresentation
bin1010111011101110011101…
…1111001010111001101100
31120120012211020202120110100
42232323213133022321230
53033423410230432340
641322244122511100
72350334411526111
oct256734737127154
946505736676410
1012021202202220
113915188284182
121421958365490
13692796180183
142d7b87808908
1515ca744ae830
hexaeee77cae6c

12021202202220 has 72 divisors (see below), whose sum is σ = 36503229881664. Its totient is φ = 3202232686848.

The previous prime is 12021202202213. The next prime is 12021202202227. The reversal of 12021202202220 is 2220220212021.

12021202202220 is a `hidden beast` number, since 1 + 20 + 21 + 202 + 202 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12021202202213) and next prime (12021202202227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021202202193 and 12021202202202.

It is not an unprimeable number, because it can be changed into a prime (12021202202227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35468724 + ... + 35806043.

It is an arithmetic number, because the mean of its divisors is an integer number (506989303912).

Almost surely, 212021202202220 is an apocalyptic number.

12021202202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021202202220 is an abundant number, since it is smaller than the sum of its proper divisors (24482027679444).

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

12021202202220 is a wasteful number, since it uses less digits than its factorization.

12021202202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71275719 (or 71275714 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12021202202220 its reverse (2220220212021), we get a palindrome (14241422414241).

The spelling of 12021202202220 in words is "twelve trillion, twenty-one billion, two hundred two million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 937 1874 2811 3748 4685 5622 8433 9370 11244 14055 16866 18740 28110 33732 42165 56220 84330 168660 71274767 142549534 213824301 285099068 356373835 427648602 641472903 712747670 855297204 1069121505 1282945806 1425495340 2138243010 2565891612 3207364515 4276486020 6414729030 12829458060 66784456679 133568913358 200353370037 267137826716 333922283395 400706740074 601060110111 667844566790 801413480148 1001766850185 1202120220222 1335689133580 2003533700370 2404240440444 3005300550555 4007067400740 6010601101110 12021202202220