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12001030320 = 2435177194091
BaseRepresentation
bin10110010110101000…
…10011000010110000
31010222101001111200110
423023110103002300
5144034230432240
65302503421320
7603253034406
oct131324230260
933871044613
1012001030320
1150a92a5784
1223ab154840
131193435796
1481bc09476
154a38c5c80
hex2cb5130b0

12001030320 has 160 divisors (see below), whose sum is σ = 39456046080. Its totient is φ = 3007098880.

The previous prime is 12001030313. The next prime is 12001030343. The reversal of 12001030320 is 2303010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12001030296 and 12001030305.

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, 2931475 + ... + 2935565.

It is an arithmetic number, because the mean of its divisors is an integer number (246600288).

Almost surely, 212001030320 is an apocalyptic number.

12001030320 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 12001030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19728023040).

12001030320 is an abundant number, since it is smaller than the sum of its proper divisors (27455015760).

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

12001030320 is a wasteful number, since it uses less digits than its factorization.

12001030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12001030320 its reverse (2303010021), we get a palindrome (14304040341).

The spelling of 12001030320 in words is "twelve billion, one million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 719 816 1020 1360 1438 2040 2157 2876 3595 4080 4091 4314 5752 7190 8182 8628 10785 11504 12223 12273 14380 16364 17256 20455 21570 24446 24546 28760 32728 34512 36669 40910 43140 48892 49092 57520 61115 61365 65456 69547 73338 81820 86280 97784 98184 122230 122730 139094 146676 163640 172560 183345 195568 196368 208641 244460 245460 278188 293352 327280 347735 366690 417282 488920 490920 556376 586704 695470 733380 834564 977840 981840 1043205 1112752 1390940 1466760 1669128 2086410 2781880 2933520 2941429 3338256 4172820 5563760 5882858 8345640 8824287 11765716 14707145 16691280 17648574 23531432 29414290 35297148 44121435 47062864 50004293 58828580 70594296 88242870 100008586 117657160 141188592 150012879 176485740 200017172 235314320 250021465 300025758 352971480 400034344 500042930 600051516 705942960 750064395 800068688 1000085860 1200103032 1500128790 2000171720 2400206064 3000257580 4000343440 6000515160 12001030320