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12002102011220 = 2251735300300033
BaseRepresentation
bin1010111010100111010100…
…0001101110010101010100
31120111101112010101100002212
42232221311001232111110
53033120301103324340
641305404535252552
72346060163554056
oct256516501562524
946441463340085
1012002102011220
113908076766a62
12141a10781a158
13690a41032cc9
142d6c94c2d8d6
1515c307733a65
hexaea7506e554

12002102011220 has 24 divisors (see below), whose sum is σ = 26687026825704. Its totient is φ = 4518438404096.

The previous prime is 12002102011201. The next prime is 12002102011247. The reversal of 12002102011220 is 2211020120021.

12002102011220 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 4 ways, for example, as 1536851131204 + 10465250880016 = 1239698^2 + 3235004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12002102011195 and 12002102011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17650149677 + ... + 17650150356.

It is an arithmetic number, because the mean of its divisors is an integer number (1111959451071).

Almost surely, 212002102011220 is an apocalyptic number.

12002102011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002102011220 is an abundant number, since it is smaller than the sum of its proper divisors (14684924814484).

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

12002102011220 is a wasteful number, since it uses less digits than its factorization.

12002102011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35300300059 (or 35300300057 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002102011220 its reverse (2211020120021), we get a palindrome (14213122131241).

The spelling of 12002102011220 in words is "twelve trillion, two billion, one hundred two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 35300300033 70600600066 141201200132 176501500165 353003000330 600105100561 706006000660 1200210201122 2400420402244 3000525502805 6001051005610 12002102011220