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12006757320 = 2335337367809
BaseRepresentation
bin10110010111010100…
…01001001111001000
31010222202211110122120
423023222021033020
5144042212213240
65303230251240
7603352516245
oct131352111710
933882743576
1012006757320
115101557538
1223b1056b20
13119468c43c
1481c89a5cc
154a4157ad0
hex2cba893c8

12006757320 has 128 divisors (see below), whose sum is σ = 36270374400. Its totient is φ = 3179667456.

The previous prime is 12006757319. The next prime is 12006757349. The reversal of 12006757320 is 2375760021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14841076 + ... + 14841884.

It is an arithmetic number, because the mean of its divisors is an integer number (283362300).

Almost surely, 212006757320 is an apocalyptic number.

12006757320 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 12006757320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135187200).

12006757320 is an abundant number, since it is smaller than the sum of its proper divisors (24263617080).

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

12006757320 is a wasteful number, since it uses less digits than its factorization.

12006757320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 12006757320 in words is "twelve billion, six million, seven hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 367 674 734 809 1011 1101 1348 1468 1618 1685 1835 2022 2202 2427 2696 2936 3236 3370 3670 4044 4045 4404 4854 5055 5505 6472 6740 7340 8088 8090 8808 9708 10110 11010 12135 13480 14680 16180 19416 20220 22020 24270 32360 40440 44040 48540 97080 123679 247358 272633 296903 371037 494716 545266 593806 618395 742074 817899 890709 989432 1090532 1187612 1236790 1363165 1484148 1484515 1635798 1781418 1855185 2181064 2375224 2473580 2726330 2968296 2969030 3271596 3562836 3710370 4089495 4453545 4947160 5452660 5938060 6543192 7125672 7420740 8178990 8907090 10905320 11876120 14841480 16357980 17814180 32715960 35628360 100056311 200112622 300168933 400225244 500281555 600337866 800450488 1000563110 1200675732 1500844665 2001126220 2401351464 3001689330 4002252440 6003378660 12006757320