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12122121220 = 22511219299091
BaseRepresentation
bin10110100101000100…
…01110010000000100
31011021210220120011121
423102202032100010
5144311230334340
65322511043324
7606253221166
oct132242162004
934253816147
1012122121220
115160692100
122423810544
1311b25520c1
1482dd2a936
154ae34494a
hex2d288e404

12122121220 has 144 divisors (see below), whose sum is σ = 30472747200. Its totient is φ = 4031596800.

The previous prime is 12122121203. The next prime is 12122121233. The reversal of 12122121220 is 2212122121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122121194 and 12122121203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328875 + ... + 1337965.

It is an arithmetic number, because the mean of its divisors is an integer number (211616300).

Almost surely, 212122121220 is an apocalyptic number.

12122121220 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 12122121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15236373600).

12122121220 is an abundant number, since it is smaller than the sum of its proper divisors (18350625980).

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

12122121220 is a wasteful number, since it uses less digits than its factorization.

12122121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9170 (or 9157 counting only the distinct ones).

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

Adding to 12122121220 its reverse (2212122121), we get a palindrome (14334243341).

Subtracting from 12122121220 its reverse (2212122121), we obtain a palindrome (9909999099).

The spelling of 12122121220 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 121 145 190 209 220 242 290 319 380 418 484 551 580 605 638 836 1045 1102 1210 1276 1595 2090 2204 2299 2420 2755 3190 3509 4180 4598 5510 6061 6380 7018 9091 9196 11020 11495 12122 14036 17545 18182 22990 24244 30305 35090 36364 45455 45980 60610 66671 70180 90910 100001 121220 133342 172729 181820 200002 263639 266684 333355 345458 400004 500005 527278 666710 690916 863645 1000010 1054556 1100011 1318195 1333420 1727290 1900019 2000020 2200022 2636390 2900029 3454580 3800038 4400044 5009141 5272780 5500055 5800058 7600076 9500095 10018282 11000110 11600116 14500145 19000190 20036564 20900209 22000220 25045705 29000290 31900319 38000380 41800418 50091410 55100551 58000580 63800638 83600836 100182820 104501045 110201102 127601276 159501595 209002090 220402204 275502755 319003190 418004180 551005510 606106061 638006380 1102011020 1212212122 2424424244 3030530305 6061060610 12122121220