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12248386320 = 2435199337761
BaseRepresentation
bin10110110100000111…
…11000101100010000
31011121121111111022210
423122003320230100
5200041041330240
65343221232120
7612345365052
oct133203705420
934547444283
1012248386320
115215992a25
122459b62640
131202760891
148429d78d2
154ba486780
hex2da0f8b10

12248386320 has 160 divisors (see below), whose sum is σ = 38324332800. Its totient is φ = 3235921920.

The previous prime is 12248386313. The next prime is 12248386331. The reversal of 12248386320 is 2368384221.

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, 16094740 + ... + 16095500.

It is an arithmetic number, because the mean of its divisors is an integer number (239527080).

Almost surely, 212248386320 is an apocalyptic number.

12248386320 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 12248386320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162166400).

12248386320 is an abundant number, since it is smaller than the sum of its proper divisors (26075946480).

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

12248386320 is a wasteful number, since it uses less digits than its factorization.

12248386320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12248386320 in words is "twelve billion, two hundred forty-eight million, three hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 337 398 597 674 761 796 995 1011 1194 1348 1522 1592 1685 1990 2022 2283 2388 2696 2985 3044 3184 3370 3805 3980 4044 4566 4776 5055 5392 5970 6088 6740 7610 7960 8088 9132 9552 10110 11415 11940 12176 13480 15220 15920 16176 18264 20220 22830 23880 26960 30440 36528 40440 45660 47760 60880 67063 80880 91320 134126 151439 182640 201189 256457 268252 302878 335315 402378 454317 512914 536504 605756 670630 757195 769371 804756 908634 1005945 1025828 1073008 1211512 1282285 1341260 1514390 1538742 1609512 1817268 2011890 2051656 2271585 2423024 2564570 2682520 3028780 3077484 3219024 3634536 3846855 4023780 4103312 4543170 5129140 5365040 6057560 6154968 7269072 7693710 8047560 9086340 10258280 12115120 12309936 15387420 16095120 18172680 20516560 30774840 36345360 51034943 61549680 102069886 153104829 204139772 255174715 306209658 408279544 510349430 612419316 765524145 816559088 1020698860 1224838632 1531048290 2041397720 2449677264 3062096580 4082795440 6124193160 12248386320