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12220202120 = 2357229214993
BaseRepresentation
bin10110110000110000…
…10111110010001000
31011112122110120212112
423120120113302020
5200011332431440
65340333201452
7611554001300
oct133030276210
934478416775
1012220202120
115200a927a5
122450630288
1311c9973239
1483cd7c600
154b7c6a965
hex2d8617c88

12220202120 has 96 divisors (see below), whose sum is σ = 33087576600. Its totient is φ = 4045289472.

The previous prime is 12220202119. The next prime is 12220202129. The reversal of 12220202120 is 2120202221.

It can be written as a sum of positive squares in 4 ways, for example, as 5970034756 + 6250167364 = 77266^2 + 79058^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12220202095 and 12220202104.

It is not an unprimeable number, because it can be changed into a prime (12220202129) 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, 50657 + ... + 164336.

Almost surely, 212220202120 is an apocalyptic number.

12220202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202120 is an abundant number, since it is smaller than the sum of its proper divisors (20867374480).

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

12220202120 is a wasteful number, since it uses less digits than its factorization.

12220202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215047 (or 215036 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220202120 its reverse (2120202221), we get a palindrome (14340404341).

The spelling of 12220202120 in words is "twelve billion, two hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 49 56 58 70 98 116 140 145 196 203 232 245 280 290 392 406 490 580 812 980 1015 1160 1421 1624 1960 2030 2842 4060 5684 7105 8120 11368 14210 28420 56840 214993 429986 859972 1074965 1504951 1719944 2149930 3009902 4299860 6019804 6234797 7524755 8599720 10534657 12039608 12469594 15049510 21069314 24939188 30099020 31173985 42138628 43643579 49878376 52673285 60198040 62347970 84277256 87287158 105346570 124695940 174574316 210693140 218217895 249391880 305505053 349148632 421386280 436435790 611010106 872871580 1222020212 1527525265 1745743160 2444040424 3055050530 6110101060 12220202120