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12122001202212 = 223211472635714337
BaseRepresentation
bin1011000001100101111110…
…0100110101110000100100
31120220212000002212022122100
42300121133210311300210
53042101324301432322
641440434231132100
72360533330064466
oct260313744656044
946825002768570
1012122001202212
113953a03727850
1214393a9814030
1369c13b382575
142dc9caa14136
151604c3924dac
hexb065f935c24

12122001202212 has 288 divisors, whose sum is σ = 34336290852864. Its totient is φ = 3574411084800.

The previous prime is 12122001202189. The next prime is 12122001202217. The reversal of 12122001202212 is 21220210022121.

It is a happy number.

12122001202212 is a `hidden beast` number, since 121 + 2 + 200 + 120 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12122001202217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2795017708 + ... + 2795022044.

It is an arithmetic number, because the mean of its divisors is an integer number (119223232128).

Almost surely, 212122001202212 is an apocalyptic number.

12122001202212 is a gapful number since it is divisible by the number (12) 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 12122001202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168145426432).

12122001202212 is an abundant number, since it is smaller than the sum of its proper divisors (22214289650652).

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

12122001202212 is a wasteful number, since it uses less digits than its factorization.

12122001202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122001202212 its reverse (21220210022121), we get a palindrome (33342211224333).

The spelling of 12122001202212 in words is "twelve trillion, one hundred twenty-two billion, one million, two hundred two thousand, two hundred twelve".