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12003773220 = 22325233433661
BaseRepresentation
bin10110010110111101…
…10000101100100100
31010222120012212020100
423023132300230210
5144040431220340
65303042304100
7603315250245
oct131336605444
933876185210
1012003773220
1150aa8a953a
1223b0058030
131193b860ba
1481c320ccc
154a3c68830
hex2cb7b0b24

12003773220 has 144 divisors (see below), whose sum is σ = 36707619312. Its totient is φ = 3175096320.

The previous prime is 12003773207. The next prime is 12003773227. The reversal of 12003773220 is 2237730021.

It is a happy number.

12003773220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1012766976 + 10991006244 = 31824^2 + 104838^2 .

It is not an unprimeable number, because it can be changed into a prime (12003773227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18159690 + ... + 18160350.

It is an arithmetic number, because the mean of its divisors is an integer number (254914023).

Almost surely, 212003773220 is an apocalyptic number.

12003773220 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 12003773220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353809656).

12003773220 is an abundant number, since it is smaller than the sum of its proper divisors (24703846092).

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

12003773220 is a wasteful number, since it uses less digits than its factorization.

12003773220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 12003773220 in words is "twelve billion, three million, seven hundred seventy-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 433 466 661 699 866 932 1165 1299 1322 1398 1732 1983 2097 2165 2330 2598 2644 2796 3305 3495 3897 3966 4194 4330 4660 5196 5949 6495 6610 6990 7794 7932 8388 8660 9915 10485 11898 12990 13220 13980 15588 19485 19830 20970 23796 25980 29745 38970 39660 41940 59490 77940 100889 118980 154013 201778 286213 302667 308026 403556 462039 504445 572426 605334 616052 770065 858639 908001 924078 1008890 1144852 1210668 1386117 1431065 1513335 1540130 1717278 1816002 1848156 2017780 2310195 2575917 2772234 2862130 3026670 3080260 3434556 3632004 4293195 4540005 4620390 5151834 5544468 5724260 6053340 6930585 8586390 9080010 9240780 10303668 12879585 13861170 17172780 18160020 25759170 27722340 51518340 66687629 133375258 200062887 266750516 333438145 400125774 600188661 666876290 800251548 1000314435 1200377322 1333752580 2000628870 2400754644 3000943305 4001257740 6001886610 12003773220