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12324211320 = 2335413377433
BaseRepresentation
bin10110111101001010…
…01000101001111000
31011210220011210200010
423132211020221320
5200214444230240
65354530341520
7614256032151
oct133645105170
934726153603
1012324211320
115254772413
12247b42a8a0
13121538b845
1484cad4928
154c1e63280
hex2de948a78

12324211320 has 128 divisors (see below), whose sum is σ = 37991903040. Its totient is φ = 3196354560.

The previous prime is 12324211309. The next prime is 12324211337. The reversal of 12324211320 is 2311242321.

12324211320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123242113202 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1654324 + ... + 1661756.

Almost surely, 212324211320 is an apocalyptic number.

12324211320 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 12324211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18995951520).

12324211320 is an abundant number, since it is smaller than the sum of its proper divisors (25667691720).

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

12324211320 is a wasteful number, since it uses less digits than its factorization.

12324211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12324211320 its reverse (2311242321), we get a palindrome (14635453641).

The spelling of 12324211320 in words is "twelve billion, three hundred twenty-four million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 337 410 492 615 674 820 984 1011 1230 1348 1640 1685 2022 2460 2696 3370 4044 4920 5055 6740 7433 8088 10110 13480 13817 14866 20220 22299 27634 29732 37165 40440 41451 44598 55268 59464 69085 74330 82902 89196 110536 111495 138170 148660 165804 178392 207255 222990 276340 297320 304753 331608 414510 445980 552680 609506 829020 891960 914259 1219012 1523765 1658040 1828518 2438024 2504921 3047530 3657036 4571295 5009842 6095060 7314072 7514763 9142590 10019684 12190120 12524605 15029526 18285180 20039368 25049210 30059052 36570360 37573815 50098420 60118104 75147630 100196840 102701761 150295260 205403522 300590520 308105283 410807044 513508805 616210566 821614088 1027017610 1232421132 1540526415 2054035220 2464842264 3081052830 4108070440 6162105660 12324211320