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12023320232040 = 2335137707256559
BaseRepresentation
bin1010111011110110010110…
…1110110100000001101000
31120120102021212012122011020
42232331211232310001220
53033442224434411130
641323234223332440
72350441040505135
oct256754556640150
946512255178136
1012023320232040
113916074907347
121422249751120
13692a42c11760
142d7d08c2958c
1515cb4a3d8e10
hexaef65bb4068

12023320232040 has 64 divisors (see below), whose sum is σ = 38844573062400. Its totient is φ = 2959586518272.

The previous prime is 12023320232039. The next prime is 12023320232081. The reversal of 12023320232040 is 4023202332021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12023320232040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853626720 + ... + 3853629839.

It is an arithmetic number, because the mean of its divisors is an integer number (606946454100).

Almost surely, 212023320232040 is an apocalyptic number.

12023320232040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023320232040 is an abundant number, since it is smaller than the sum of its proper divisors (26821252830360).

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

12023320232040 is a wasteful number, since it uses less digits than its factorization.

12023320232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707256586 (or 7707256582 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12023320232040 its reverse (4023202332021), we get a palindrome (16046522564061).

The spelling of 12023320232040 in words is "twelve trillion, twenty-three billion, three hundred twenty million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 7707256559 15414513118 23121769677 30829026236 38536282795 46243539354 61658052472 77072565590 92487078708 100194335267 115608848385 154145131180 184974157416 200388670534 231217696770 300583005801 308290262360 400777341068 462435393540 500971676335 601166011602 801554682136 924870787080 1001943352670 1202332023204 1502915029005 2003886705340 2404664046408 3005830058010 4007773410680 6011660116020 12023320232040