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12001221222200 = 2352758732594481
BaseRepresentation
bin1010111010100100000010…
…0001110001111100111000
31120111022020202000121201022
42232221000201301330320
53033112000113102300
641305141313042012
72346026310150050
oct256510041617470
946438222017638
1012001221222200
113907764566151
121419b00856308
13690930704882
142d6c0dc74560
1515c2a524e285
hexaea40871f38

12001221222200 has 192 divisors, whose sum is σ = 31960216915200. Its totient is φ = 4105517875200.

The previous prime is 12001221222191. The next prime is 12001221222209. The reversal of 12001221222200 is 222212210021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12001221222191) and next prime (12001221222209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001221222209) 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, 2678243960 + ... + 2678248440.

It is an arithmetic number, because the mean of its divisors is an integer number (166459463100).

Almost surely, 212001221222200 is an apocalyptic number.

12001221222200 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 12001221222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980108457600).

12001221222200 is an abundant number, since it is smaller than the sum of its proper divisors (19958995693000).

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

12001221222200 is a wasteful number, since it uses less digits than its factorization.

12001221222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8350 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12001221222200 its reverse (222212210021), we get a palindrome (12223433432221).

The spelling of 12001221222200 in words is "twelve trillion, one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred".