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12381860320 = 255438321683
BaseRepresentation
bin10111000100000010…
…00011000111100000
31011221220122200020021
423202001003013200
5200324224012240
65404350123224
7615556035064
oct134201030740
934856580207
1012381860320
115284267a15
1224967b0514
1312242c468b
1485661daa4
154c704e54a
hex2e20431e0

12381860320 has 96 divisors (see below), whose sum is σ = 30294456192. Its totient is φ = 4779059712.

The previous prime is 12381860303. The next prime is 12381860369. The reversal of 12381860320 is 2306818321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560199 + ... + 581881.

It is an arithmetic number, because the mean of its divisors is an integer number (315567252).

Almost surely, 212381860320 is an apocalyptic number.

12381860320 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 12381860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147228096).

12381860320 is an abundant number, since it is smaller than the sum of its proper divisors (17912595872).

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

12381860320 is a wasteful number, since it uses less digits than its factorization.

12381860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21824 (or 21816 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 12381860320 in words is "twelve billion, three hundred eighty-one million, eight hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 83 86 160 166 172 215 332 344 415 430 664 688 830 860 1328 1376 1660 1720 2656 3320 3440 3569 6640 6880 7138 13280 14276 17845 21683 28552 35690 43366 57104 71380 86732 108415 114208 142760 173464 216830 285520 346928 433660 571040 693856 867320 932369 1734640 1799689 1864738 3469280 3599378 3729476 4661845 7198756 7458952 8998445 9323690 14397512 14917904 17996890 18647380 28795024 29835808 35993780 37294760 57590048 71987560 74589520 77386627 143975120 149179040 154773254 287950240 309546508 386933135 619093016 773866270 1238186032 1547732540 2476372064 3095465080 6190930160 12381860320