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120021122221 = 711213174211523
BaseRepresentation
bin110111111000111010…
…0001111110010101101
3102110210110220201201221
41233301310033302231
53431300401402341
6131045325103341
711446143464140
oct1576164176255
9373713821657
10120021122221
114699a881600
121b3169b7b51
13b4196a1520
145b48084057
1531c6c78ed1
hex1bf1d0fcad

120021122221 has 96 divisors (see below), whose sum is σ = 172440624384. Its totient is φ = 81004492800.

The previous prime is 120021122197. The next prime is 120021122237. The reversal of 120021122221 is 122221120021.

It is a happy number.

It is not a de Polignac number, because 120021122221 - 29 = 120021121709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120021122195 and 120021122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021122261) 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 95 ways as a sum of consecutive naturals, for example, 78804966 + ... + 78806488.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256504).

Almost surely, 2120021122221 is an apocalyptic number.

120021122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120021122221 is a deficient number, since it is larger than the sum of its proper divisors (52419502163).

120021122221 is a wasteful number, since it uses less digits than its factorization.

120021122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1992 counting only the distinct ones).

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

Adding to 120021122221 its reverse (122221120021), we get a palindrome (242242242242).

It can be divided in two parts, 120021 and 122221, that added together give a palindrome (242242).

The spelling of 120021122221 in words is "one hundred twenty billion, twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 13 17 77 91 119 121 143 187 221 421 847 1001 1309 1523 1547 1573 2057 2431 2947 4631 5473 7157 10661 11011 14399 16753 17017 19799 25891 26741 32417 38311 50099 50941 60203 78727 93041 117271 138593 181237 184283 187187 217789 284801 336583 356587 421421 551089 641183 651287 662233 865997 1023451 1289981 1524523 1993607 2356081 2395679 3132811 3702413 4488281 4635631 6061979 7053013 7164157 8335379 10900111 11257961 16769753 21929677 25916891 40726543 49371091 58347653 76300777 77583143 78805727 91689169 119901221 141701443 285085801 543082001 641824183 839308547 991910101 1008580859 1318913431 1558715873 7060066013 9232394017 10911011111 17145874603 120021122221