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12032212212 = 223210916131901
BaseRepresentation
bin10110011010010110…
…01111110011110100
31011001112201201012100
423031023033303310
5144120221242322
65305540022100
7604112054616
oct131513176364
934045651170
1012032212212
115114963139
1223b9691930
131199a326c7
14822004db6
154a64d4dac
hex2cd2cfcf4

12032212212 has 72 divisors (see below), whose sum is σ = 30728978280. Its totient is φ = 3969388800.

The previous prime is 12032212207. The next prime is 12032212223. The reversal of 12032212212 is 21221223021.

12032212212 is a `hidden beast` number, since 120 + 322 + 1 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1125334116 + 10906878096 = 33546^2 + 104436^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6328462 + ... + 6330362.

It is an arithmetic number, because the mean of its divisors is an integer number (426791365).

Almost surely, 212032212212 is an apocalyptic number.

12032212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12032212212 is an abundant number, since it is smaller than the sum of its proper divisors (18696766068).

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

12032212212 is a wasteful number, since it uses less digits than its factorization.

12032212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3628 counting only the distinct ones).

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

Adding to 12032212212 its reverse (21221223021), we get a palindrome (33253435233).

The spelling of 12032212212 in words is "twelve billion, thirty-two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1613 1901 1962 3226 3802 3924 4839 5703 6452 7604 9678 11406 14517 17109 19356 22812 29034 34218 58068 68436 175817 207209 351634 414418 527451 621627 703268 828836 1054902 1243254 1582353 1864881 2109804 2486508 3066313 3164706 3729762 6132626 6329412 7459524 9198939 12265252 18397878 27596817 36795756 55193634 110387268 334228117 668456234 1002684351 1336912468 2005368702 3008053053 4010737404 6016106106 12032212212