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12001221211220 = 2252927137626893
BaseRepresentation
bin1010111010100100000010…
…0001101111010001010100
31120111022020202000001122122
42232221000201233101110
53033112000112224340
641305141312515112
72346026310103043
oct256510041572124
946438222001578
1012001221211220
11390776455897a
121419b0084ba98
136909306cc887
142d6c0dc7055a
1515c2a524adb5
hexaea4086f454

12001221211220 has 48 divisors (see below), whose sum is σ = 26081231798160. Its totient is φ = 4633245367296.

The previous prime is 12001221211159. The next prime is 12001221211241. The reversal of 12001221211220 is 2211212210021.

It can be written as a sum of positive squares in 8 ways, for example, as 116571713476 + 11884649497744 = 341426^2 + 3447412^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2239907 + ... + 5386986.

It is an arithmetic number, because the mean of its divisors is an integer number (543358995795).

Almost surely, 212001221211220 is an apocalyptic number.

12001221211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001221211220 is an abundant number, since it is smaller than the sum of its proper divisors (14080010586940).

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

12001221211220 is a wasteful number, since it uses less digits than its factorization.

12001221211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629644 (or 7629642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12001221211220 its reverse (2211212210021), we get a palindrome (14212433421241).

The spelling of 12001221211220 in words is "twelve trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2713 5426 10852 13565 27130 54260 78677 157354 314708 393385 786770 1573540 7626893 15253786 30507572 38134465 76268930 152537860 221179897 442359794 884719588 1105899485 2211798970 4423597940 20691760709 41383521418 82767042836 103458803545 206917607090 413835214180 600061060561 1200122121122 2400244242244 3000305302805 6000610605610 12001221211220