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12002301220 = 22571313150341
BaseRepresentation
bin10110010110110010…
…01001010100100100
31010222110110002000211
423023121021110210
5144040042114340
65302550545204
7603266606560
oct131331112444
933873402024
1012002301220
1150a9a93608
1223ab668204
13119378c0b0
1481c05a6a0
154a3a775ea
hex2cb649524

12002301220 has 96 divisors (see below), whose sum is σ = 31258757376. Its totient is φ = 3769459200.

The previous prime is 12002301191. The next prime is 12002301247. The reversal of 12002301220 is 2210320021.

It is a super-2 number, since 2×120023012202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12002301220.

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, 213250 + ... + 263590.

It is an arithmetic number, because the mean of its divisors is an integer number (325612056).

Almost surely, 212002301220 is an apocalyptic number.

12002301220 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 12002301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629378688).

12002301220 is an abundant number, since it is smaller than the sum of its proper divisors (19256456156).

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

12002301220 is a wasteful number, since it uses less digits than its factorization.

12002301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50501 (or 50499 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12002301220 its reverse (2210320021), we get a palindrome (14212621241).

The spelling of 12002301220 in words is "twelve billion, two million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 131 140 182 260 262 364 455 524 655 910 917 1310 1703 1820 1834 2620 3406 3668 4585 6812 8515 9170 11921 17030 18340 23842 34060 47684 50341 59605 100682 119210 201364 238420 251705 352387 503410 654433 704774 1006820 1308866 1409548 1761935 2617732 3272165 3523870 4581031 6544330 6594671 7047740 9162062 13088660 13189342 18324124 22905155 26378684 32973355 45810310 46162697 65946710 85730723 91620620 92325394 131893420 171461446 184650788 230813485 342922892 428653615 461626970 600115061 857307230 923253940 1200230122 1714614460 2400460244 3000575305 6001150610 12002301220