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12001202212122 = 232666733456229
BaseRepresentation
bin1010111010100011111101…
…1001010000110100011010
31120111022012102020210210100
42232220333121100310122
53033111430231241442
641305135353400230
72346025656443064
oct256507731206432
946438172223710
1012001202212122
113907754861642
121419ab6409076
136909297a9bc6
142d6c0b526734
1515c2a374684c
hexaea3f650d1a

12001202212122 has 12 divisors (see below), whose sum is σ = 26002604792970. Its totient is φ = 4000400737368.

The previous prime is 12001202212067. The next prime is 12001202212123. The reversal of 12001202212122 is 22121220210021.

It is a happy number.

12001202212122 is a `hidden beast` number, since 1 + 200 + 120 + 221 + 2 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11943583490601 + 57618721521 = 3455949^2 + 240039^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 666733456229 = 12001202212122 / (1 + 2 + 0 + 0 + 1 + 2 + 0 + 2 + 2 + 1 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 12001202212095 and 12001202212104.

It is not an unprimeable number, because it can be changed into a prime (12001202212123) 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 5 ways as a sum of consecutive naturals, for example, 333366728097 + ... + 333366728132.

Almost surely, 212001202212122 is an apocalyptic number.

12001202212122 is an abundant number, since it is smaller than the sum of its proper divisors (14001402580848).

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

12001202212122 is a wasteful number, since it uses less digits than its factorization.

12001202212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666733456237 (or 666733456234 counting only the distinct ones).

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

Adding to 12001202212122 its reverse (22121220210021), we get a palindrome (34122422422143).

The spelling of 12001202212122 in words is "twelve trillion, one billion, two hundred two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 666733456229 1333466912458 2000200368687 4000400737374 6000601106061 12001202212122