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12122320212 = 22323728613181
BaseRepresentation
bin10110100101000101…
…11110110101010100
31011021211021200010200
423102202332311110
5144311303221322
65322515220500
7606255010302
oct132242766524
934254250120
1012122320212
115160808662
1224238a7730
1311b25c1852
1482dd7d272
154ae3838ac
hex2d28bed54

12122320212 has 72 divisors (see below), whose sum is σ = 31491604872. Its totient is φ = 3928953600.

The previous prime is 12122320211. The next prime is 12122320241. The reversal of 12122320212 is 21202322121.

12122320212 is a `hidden beast` number, since 12 + 122 + 320 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1798947396 + 10323372816 = 42414^2 + 101604^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122320211) 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, 3809262 + ... + 3812442.

It is an arithmetic number, because the mean of its divisors is an integer number (437383401).

Almost surely, 212122320212 is an apocalyptic number.

12122320212 is a gapful number since it is divisible by the number (12) 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 12122320212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745802436).

12122320212 is an abundant number, since it is smaller than the sum of its proper divisors (19369284660).

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

12122320212 is a wasteful number, since it uses less digits than its factorization.

12122320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12122320212 its reverse (21202322121), we get a palindrome (33324642333).

The spelling of 12122320212 in words is "twelve billion, one hundred twenty-two million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2861 3181 5722 6362 8583 9543 11444 12724 17166 19086 25749 28629 34332 38172 51498 57258 102996 105857 114516 117697 211714 235394 317571 353091 423428 470788 635142 706182 952713 1059273 1270284 1412364 1905426 2118546 3810852 4237092 9100841 18201682 27302523 36403364 54605046 81907569 109210092 163815138 327630276 336731117 673462234 1010193351 1346924468 2020386702 3030580053 4040773404 6061160106 12122320212