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12411442212 = 223131737312547
BaseRepresentation
bin10111000111100011…
…11001010000100100
31012000222022120221220
423203301321100210
5200404312122322
65411324140340
7616365342501
oct134361712044
935028276856
1012411442212
115299a32264
1224a46976b0
13122a481260
1485a5204a8
154c994455c
hex2e3c79424

12411442212 has 96 divisors (see below), whose sum is σ = 33113469312. Its totient is φ = 3584342016.

The previous prime is 12411442207. The next prime is 12411442259. The reversal of 12411442212 is 21224411421.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 982923 + ... + 995469.

It is an arithmetic number, because the mean of its divisors is an integer number (344931972).

Almost surely, 212411442212 is an apocalyptic number.

12411442212 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 12411442212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556734656).

12411442212 is an abundant number, since it is smaller than the sum of its proper divisors (20702027100).

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

12411442212 is a wasteful number, since it uses less digits than its factorization.

12411442212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12955 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 12411442212 its reverse (21224411421), we get a palindrome (33635853633).

The spelling of 12411442212 in words is "twelve billion, four hundred eleven million, four hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 373 442 663 746 884 1119 1326 1492 2238 2652 4476 4849 6341 9698 12547 12682 14547 19023 19396 25094 25364 29094 37641 38046 50188 58188 75282 76092 82433 150564 163111 164866 213299 247299 326222 329732 426598 489333 494598 639897 652444 853196 978666 989196 1279794 1957332 2559588 2772887 4680031 5545774 8318661 9360062 11091548 14040093 16637322 18720124 28080186 33274644 56160372 60840403 79560527 121680806 159121054 182521209 238681581 243361612 318242108 365042418 477363162 730084836 954726324 1034286851 2068573702 3102860553 4137147404 6205721106 12411442212