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12002221000200 = 23352712281123517
BaseRepresentation
bin1010111010100111110000…
…0111101000011000001000
31120111101211102021121022010
42232221330013220120020
53033121022034001300
641305424425455520
72346063140134524
oct256517407503010
946441742247263
1012002221000200
113908127948162
12141a13b6415a0
13690a5c8949a2
142d6ca6964d84
1515c312dd9a50
hexaea7c1e8608

12002221000200 has 192 divisors, whose sum is σ = 37747772737920. Its totient is φ = 3154104576000.

The previous prime is 12002221000181. The next prime is 12002221000201. The reversal of 12002221000200 is 200012220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12002221000201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97108842 + ... + 97232358.

It is an arithmetic number, because the mean of its divisors is an integer number (196602983010).

Almost surely, 212002221000200 is an apocalyptic number.

12002221000200 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 12002221000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873886368960).

12002221000200 is an abundant number, since it is smaller than the sum of its proper divisors (25745551737720).

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

12002221000200 is a wasteful number, since it uses less digits than its factorization.

12002221000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125888 (or 125879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002221000200 its reverse (200012220021), we get a palindrome (12202233220221).

The spelling of 12002221000200 in words is "twelve trillion, two billion, two hundred twenty-one million, two hundred", and thus it is an aban number.