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12230230124040 = 23356712591208239
BaseRepresentation
bin1011000111111001001010…
…0001011010011000001000
31121022012100202200012111120
42301332102201122120020
53100340002402432130
642002253512355240
72401414334535645
oct261762241323010
947265322605446
1012230230124040
1139958a2077695
1214563733a5b20
136a93c8977706
14303d368ccdcc
1516320a2c8910
hexb1f9285a608

12230230124040 has 128 divisors (see below), whose sum is σ = 37267921152000. Its totient is φ = 3210162709248.

The previous prime is 12230230124029. The next prime is 12230230124041. The reversal of 12230230124040 is 4042103203221.

It is a happy number.

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 12230230124040.

It is not an unprimeable number, because it can be changed into a prime (12230230124041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9518241 + ... + 10726479.

It is an arithmetic number, because the mean of its divisors is an integer number (291155634000).

Almost surely, 212230230124040 is an apocalyptic number.

12230230124040 is a gapful number since it is divisible by the number (10) 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 12230230124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633960576000).

12230230124040 is an abundant number, since it is smaller than the sum of its proper divisors (25037691027960).

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

12230230124040 is a wasteful number, since it uses less digits than its factorization.

12230230124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209579 (or 1209575 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12230230124040 its reverse (4042103203221), we get a palindrome (16272333327261).

The spelling of 12230230124040 in words is "twelve trillion, two hundred thirty billion, two hundred thirty million, one hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1259 1340 1608 2010 2518 2680 3777 4020 5036 6295 7554 8040 10072 12590 15108 18885 25180 30216 37770 50360 75540 84353 151080 168706 253059 337412 421765 506118 674824 843530 1012236 1208239 1265295 1687060 2024472 2416478 2530590 3374120 3624717 4832956 5061180 6041195 7249434 9665912 10122360 12082390 14498868 18123585 24164780 28997736 36247170 48329560 72494340 80952013 144988680 161904026 242856039 323808052 404760065 485712078 647616104 809520130 971424156 1214280195 1521172901 1619040260 1942848312 2428560390 3042345802 3238080520 4563518703 4857120780 6084691604 7605864505 9127037406 9714241560 12169383208 15211729010 18254074812 22817593515 30423458020 36508149624 45635187030 60846916040 91270374060 101918584367 182540748120 203837168734 305755753101 407674337468 509592921835 611511506202 815348674936 1019185843670 1223023012404 1528778765505 2038371687340 2446046024808 3057557531010 4076743374680 6115115062020 12230230124040