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12332311212 = 223132322315413
BaseRepresentation
bin10110111110001000…
…00010001010101100
31011211110102022122010
423133010002022230
5200224032424322
65355420121220
7614414626044
oct133704021254
934743368563
1012332311212
1152592a4a41
122482096210
131216c66590
1484dc02724
154c2a1320c
hex2df1022ac

12332311212 has 96 divisors (see below), whose sum is σ = 32483340288. Its totient is φ = 3613065984.

The previous prime is 12332311177. The next prime is 12332311217. The reversal of 12332311212 is 21211323321.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12332311217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 792418 + ... + 807830.

It is an arithmetic number, because the mean of its divisors is an integer number (338368128).

Almost surely, 212332311212 is an apocalyptic number.

12332311212 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 12332311212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241670144).

12332311212 is an abundant number, since it is smaller than the sum of its proper divisors (20151029076).

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

12332311212 is a wasteful number, since it uses less digits than its factorization.

12332311212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15679 (or 15677 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 12332311212 its reverse (21211323321), we get a palindrome (33543634533).

The spelling of 12332311212 in words is "twelve billion, three hundred thirty-two million, three hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 223 276 299 446 598 669 892 897 1196 1338 1794 2676 2899 3588 5129 5798 8697 10258 11596 15387 15413 17394 20516 30774 30826 34788 46239 61548 61652 66677 92478 133354 184956 200031 200369 266708 354499 400062 400738 601107 708998 800124 801476 1063497 1202214 1417996 2126994 2404428 3437099 4253988 4608487 6874198 9216974 10311297 13748396 13825461 18433948 20622594 27650922 41245188 44682287 55301844 79053277 89364574 134046861 158106554 178729148 237159831 268093722 316213108 474319662 536187444 948639324 1027692601 2055385202 3083077803 4110770404 6166155606 12332311212