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12411124432 = 247294193199
BaseRepresentation
bin10111000111100001…
…01011101011010000
31012000221201110001021
423203300223223100
5200404221440212
65411313245224
7616362550150
oct134360535320
935027643037
1012411124432
115299835533
1224a4563814
13122a39c715
1485a47a760
154c98d0307
hex2e3c2bad0

12411124432 has 80 divisors (see below), whose sum is σ = 29123136000. Its totient is φ = 5010324480.

The previous prime is 12411124409. The next prime is 12411124447. The reversal of 12411124432 is 23442111421.

12411124432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12411124397 and 12411124406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86569 + ... + 179767.

It is an arithmetic number, because the mean of its divisors is an integer number (364039200).

Almost surely, 212411124432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12411124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561568000).

12411124432 is an abundant number, since it is smaller than the sum of its proper divisors (16712011568).

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

12411124432 is a wasteful number, since it uses less digits than its factorization.

12411124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93284 (or 93278 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 12411124432 its reverse (23442111421), we get a palindrome (35853235853).

The spelling of 12411124432 in words is "twelve billion, four hundred eleven million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 41 56 58 82 112 116 164 203 232 287 328 406 464 574 656 812 1148 1189 1624 2296 2378 3248 4592 4756 8323 9512 16646 19024 33292 66584 93199 133168 186398 372796 652393 745592 1304786 1491184 2609572 2702771 3821159 5219144 5405542 7642318 10438288 10811084 15284636 18919397 21622168 26748113 30569272 37838794 43244336 53496226 61138544 75677588 106992452 110813611 151355176 213984904 221627222 302710352 427969808 443254444 775695277 886508888 1551390554 1773017776 3102781108 6205562216 12411124432