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12012223201000 = 23531131216116301
BaseRepresentation
bin1010111011001101000001…
…0010111111111011101000
31120112100122111012001100121
42232303100102333323220
53033302013114413000
641314201131413024
72346566042344021
oct256632022777350
946470574161317
1012012223201000
11391139a925710
1214200712b4174
13691994b72ab9
142d75750dbc48
1515c6eb07eb1a
hexaecd04bfee8

12012223201000 has 256 divisors, whose sum is σ = 31669678909440. Its totient is φ = 4224960000000.

The previous prime is 12012223200983. The next prime is 12012223201001. The reversal of 12012223201000 is 10232221021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12012223201001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736892850 + ... + 736909150.

It is an arithmetic number, because the mean of its divisors is an integer number (123709683240).

Almost surely, 212012223201000 is an apocalyptic number.

12012223201000 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 12012223201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834839454720).

12012223201000 is an abundant number, since it is smaller than the sum of its proper divisors (19657455708440).

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

12012223201000 is a wasteful number, since it uses less digits than its factorization.

12012223201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18525 (or 18511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12012223201000 its reverse (10232221021), we get a palindrome (12022455422021).

The spelling of 12012223201000 in words is "twelve trillion, twelve billion, two hundred twenty-three million, two hundred one thousand".