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122212011220 = 225137316339503
BaseRepresentation
bin111000111010001100…
…1110100110011010100
3102200110011110102102221
41301310121310303110
54000242233324340
6132050551312124
711554345645465
oct1616431646324
9380404412387
10122212011220
1147914548972
121b82867b644
13b6a8562b50
145cb502cd6c
1532a429644a
hex1c74674cd4

122212011220 has 96 divisors (see below), whose sum is σ = 281899279872. Its totient is φ = 44232127488.

The previous prime is 122212011151. The next prime is 122212011253. The reversal of 122212011220 is 22110212221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122212011194 and 122212011203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3073989 + ... + 3113491.

It is an arithmetic number, because the mean of its divisors is an integer number (2936450832).

Almost surely, 2122212011220 is an apocalyptic number.

122212011220 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 122212011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140949639936).

122212011220 is an abundant number, since it is smaller than the sum of its proper divisors (159687268652).

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

122212011220 is a wasteful number, since it uses less digits than its factorization.

122212011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39761 (or 39759 counting only the distinct ones).

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

Adding to 122212011220 its reverse (22110212221), we get a palindrome (144322223441).

The spelling of 122212011220 in words is "one hundred twenty-two billion, two hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 163 260 292 326 365 652 730 815 949 1460 1630 1898 2119 3260 3796 4238 4745 8476 9490 10595 11899 18980 21190 23798 39503 42380 47596 59495 79006 118990 154687 158012 197515 237980 309374 395030 513539 618748 773435 790060 1027078 1546870 2054156 2567695 2883719 3093740 5135390 5767438 6438989 10270780 11534876 12877978 14418595 25755956 28837190 32194945 37488347 57674380 64389890 74976694 83706857 128779780 149953388 167413714 187441735 334827428 374883470 418534285 470046197 749766940 837068570 940092394 1674137140 1880184788 2350230985 4700461970 6110600561 9400923940 12221201122 24442402244 30553002805 61106005610 122212011220