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12002221333320 = 2335372703203003
BaseRepresentation
bin1010111010100111110000…
…1000111001101101001000
31120111101211102220112020220
42232221330020321231020
53033121022130131240
641305424440550040
72346063143022651
oct256517410715510
946441742815226
1012002221333320
113908128055469
12141a13b782320
13690a5c9804ba
142d6ca6a10528
1515c312e535d0
hexaea7c239b48

12002221333320 has 64 divisors (see below), whose sum is σ = 36979817094720. Its totient is φ = 3114089858304.

The previous prime is 12002221333303. The next prime is 12002221333327. The reversal of 12002221333320 is 2333312220021.

12002221333320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12002221333327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351597062 + ... + 1351605941.

It is an arithmetic number, because the mean of its divisors is an integer number (577809642105).

Almost surely, 212002221333320 is an apocalyptic number.

12002221333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002221333320 is an abundant number, since it is smaller than the sum of its proper divisors (24977595761400).

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

12002221333320 is a wasteful number, since it uses less digits than its factorization.

12002221333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703203054 (or 2703203050 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12002221333320 its reverse (2333312220021), we get a palindrome (14335533553341).

The spelling of 12002221333320 in words is "twelve trillion, two billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 2703203003 5406406006 8109609009 10812812012 13516015015 16219218018 21625624024 27032030030 32438436036 40548045045 54064060060 64876872072 81096090090 100018511111 108128120120 162192180180 200037022222 300055533333 324384360360 400074044444 500092555555 600111066666 800148088888 1000185111110 1200222133332 1500277666665 2000370222220 2400444266664 3000555333330 4000740444440 6001110666660 12002221333320