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12323432320 = 275412711733
BaseRepresentation
bin10110111101000100…
…01010011110000000
31011210211201020002021
423132202022132000
5200214244313240
65354501531224
7614246306053
oct133642123600
934724636067
1012323432320
115254290111
12247b113b14
1312151780b4
1484c970a9a
154c1d5c54a
hex2de88a780

12323432320 has 128 divisors (see below), whose sum is σ = 30308100480. Its totient is φ = 4788633600.

The previous prime is 12323432309. The next prime is 12323432321. The reversal of 12323432320 is 2323432321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323432321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7110174 + ... + 7111906.

It is an arithmetic number, because the mean of its divisors is an integer number (236782035).

Almost surely, 212323432320 is an apocalyptic number.

12323432320 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 12323432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154050240).

12323432320 is an abundant number, since it is smaller than the sum of its proper divisors (17984668160).

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

12323432320 is a wasteful number, since it uses less digits than its factorization.

12323432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 12323432320 its reverse (2323432321), we get a palindrome (14646864641).

Subtracting from 12323432320 its reverse (2323432321), we obtain a palindrome (9999999999).

The spelling of 12323432320 in words is "twelve billion, three hundred twenty-three million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 271 320 328 410 542 640 656 820 1084 1312 1355 1640 1733 2168 2624 2710 3280 3466 4336 5248 5420 6560 6932 8665 8672 10840 11111 13120 13864 17330 17344 21680 22222 26240 27728 34660 34688 43360 44444 55456 55555 69320 71053 86720 88888 110912 111110 138640 142106 173440 177776 221824 222220 277280 284212 355265 355552 444440 469643 554560 568424 710530 711104 888880 939286 1109120 1136848 1421060 1422208 1777760 1878572 2273696 2348215 2842120 3555520 3757144 4547392 4696430 5684240 7111040 7514288 9094784 9392860 11368480 15028576 18785720 19255363 22736960 30057152 37571440 38510726 45473920 60114304 75142880 77021452 96276815 150285760 154042904 192553630 300571520 308085808 385107260 616171616 770214520 1232343232 1540429040 2464686464 3080858080 6161716160 12323432320