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12224301331440 = 24351115729493103
BaseRepresentation
bin1011000111100011000100…
…1000110111001111110000
31121021122001120121100000110
42301320301020313033300
53100240332120101230
641555433322021320
72401114403613222
oct261706110671760
947248046540013
1012224301331440
11399332a461aa0
121455199947840
136a8992580c03
14303933338412
15162eaea594b0
hexb1e312373f0

12224301331440 has 160 divisors (see below), whose sum is σ = 41603680336896. Its totient is φ = 2944591303680.

The previous prime is 12224301331433. The next prime is 12224301331441. The reversal of 12224301331440 is 4413310342221.

12224301331440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12224301331398 and 12224301331407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224301331441) 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, 14332072 + ... + 15161031.

Almost surely, 212224301331440 is an apocalyptic number.

12224301331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12224301331440 is an abundant number, since it is smaller than the sum of its proper divisors (29379379005456).

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

12224301331440 is a wasteful number, since it uses less digits than its factorization.

12224301331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29493287 (or 29493281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12224301331440 its reverse (4413310342221), we get a palindrome (16637611673661).

The spelling of 12224301331440 in words is "twelve trillion, two hundred twenty-four billion, three hundred one million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 157 165 176 220 240 264 314 330 440 471 528 628 660 785 880 942 1256 1320 1570 1727 1884 2355 2512 2640 3140 3454 3768 4710 5181 6280 6908 7536 8635 9420 10362 12560 13816 17270 18840 20724 25905 27632 34540 37680 41448 51810 69080 82896 103620 138160 207240 414480 29493103 58986206 88479309 117972412 147465515 176958618 235944824 294931030 324424133 353917236 442396545 471889648 589862060 648848266 707834472 884793090 973272399 1179724120 1297696532 1415668944 1622120665 1769586180 1946544798 2359448240 2595393064 3244241330 3539172360 3893089596 4630417171 4866361995 5190786128 6488482660 7078344720 7786179192 9260834342 9732723990 12976965320 13891251513 15572358384 18521668684 19465447980 23152085855 25953930640 27782503026 37043337368 38930895960 46304171710 50934588881 55565006052 69456257565 74086674736 77861791920 92608343420 101869177762 111130012104 138912515130 152803766643 185216686840 203738355524 222260024208 254672944405 277825030260 305607533286 370433373680 407476711048 509345888810 555650060520 611215066572 764018833215 814953422096 1018691777620 1111300121040 1222430133144 1528037666430 2037383555240 2444860266288 3056075332860 4074767110480 6112150665720 12224301331440