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12012122221000 = 23531119285720117
BaseRepresentation
bin1010111011001100101001…
…0001110010100111001000
31120112100101110011201211121
42232303022101302213020
53033301311242033000
641314143123205024
72346563405130466
oct256631221624710
946470343151747
1012012122221000
113911348924970
121420043516774
13691979c78215
142d7565933836
1515c6e2284b1a
hexaecca4729c8

12012122221000 has 256 divisors, whose sum is σ = 32290452230400. Its totient is φ = 4136493312000.

The previous prime is 12012122220997. The next prime is 12012122221007. The reversal of 12012122221000 is 12222121021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12012122221007) 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, 597102942 + ... + 597123058.

It is an arithmetic number, because the mean of its divisors is an integer number (126134579025).

Almost surely, 212012122221000 is an apocalyptic number.

12012122221000 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 12012122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145226115200).

12012122221000 is an abundant number, since it is smaller than the sum of its proper divisors (20278330009400).

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

12012122221000 is a wasteful number, since it uses less digits than its factorization.

12012122221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12012122221000 its reverse (12222121021), we get a palindrome (12024344342021).

The spelling of 12012122221000 in words is "twelve trillion, twelve billion, one hundred twenty-two million, two hundred twenty-one thousand".