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12002220222200 = 23521343316016659
BaseRepresentation
bin1010111010100111110000…
…0100101010011011111000
31120111101211100211002002022
42232221330010222123320
53033121021334102300
641305424401054012
72346063130414355
oct256517404523370
946441740732068
1012002220222200
11390812746668a
12141a13b327308
13690a5c681830
142d6ca680162c
1515c312cd4285
hexaea7c12a6f8

12002220222200 has 192 divisors, whose sum is σ = 30144456568800. Its totient is φ = 4417929216000.

The previous prime is 12002220222193. The next prime is 12002220222203. The reversal of 12002220222200 is 222202220021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002220222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1802402471 + ... + 1802409129.

Almost surely, 212002220222200 is an apocalyptic number.

12002220222200 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 12002220222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072228284400).

12002220222200 is an abundant number, since it is smaller than the sum of its proper divisors (18142236346600).

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

12002220222200 is a wasteful number, since it uses less digits than its factorization.

12002220222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 12002220222200 its reverse (222202220021), we get a palindrome (12224422442221).

The spelling of 12002220222200 in words is "twelve trillion, two billion, two hundred twenty million, two hundred twenty-two thousand, two hundred".