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12002011220 = 22517436311301
BaseRepresentation
bin10110010110110000…
…00010100001010100
31010222102220100020002
423023120002201110
5144040003324340
65302540430432
7603264261233
oct131330024124
933872810202
1012002011220
1150a9905741
1223ab548418
1311936ba0b4
1481bdc2b1a
154a3a1b715
hex2cb602854

12002011220 has 96 divisors (see below), whose sum is σ = 27371748096. Its totient is φ = 4402944000.

The previous prime is 12002011199. The next prime is 12002011223. The reversal of 12002011220 is 2211020021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9224570 + ... + 9225870.

It is an arithmetic number, because the mean of its divisors is an integer number (285122376).

Almost surely, 212002011220 is an apocalyptic number.

12002011220 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 12002011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685874048).

12002011220 is an abundant number, since it is smaller than the sum of its proper divisors (15369736876).

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

12002011220 is a wasteful number, since it uses less digits than its factorization.

12002011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12002011220 its reverse (2211020021), we get a palindrome (14213031241).

The spelling of 12002011220 in words is "twelve billion, two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 631 731 860 1262 1301 1462 2524 2602 2924 3155 3655 5204 6310 6505 7310 10727 12620 13010 14620 21454 22117 26020 27133 42908 44234 53635 54266 55943 88468 107270 108532 110585 111886 135665 214540 221170 223772 271330 279715 442340 461261 542660 559430 820931 922522 951031 1118860 1641862 1845044 1902062 2306305 3283724 3804124 4104655 4612610 4755155 8209310 9225220 9510310 13955827 16418620 19020620 27911654 35300033 55823308 69779135 70600066 139558270 141200132 176500165 279116540 353000330 600100561 706000660 1200201122 2400402244 3000502805 6001005610 12002011220