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12201221220012 = 223211377960117539
BaseRepresentation
bin1011000110001101000101…
…1101001110011010101100
31121012102111002022012012200
42301203101131032122230
53044401100113020022
641541055203101500
72366336431114506
oct261432135163254
947172432265180
1012201221220012
113984566325740
121450818371890
136a6754a22a46
14302783d54d76
151625ad6c2bac
hexb18d174e6ac

12201221220012 has 288 divisors, whose sum is σ = 35052766694400. Its totient is φ = 3545762688000.

The previous prime is 12201221219969. The next prime is 12201221220017. The reversal of 12201221220012 is 21002212210221.

It is a happy number.

12201221220012 is a `hidden beast` number, since 1 + 220 + 1 + 221 + 220 + 0 + 1 + 2 = 666.

12201221220012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122012212200122 (a number of 27 digits) contains 22 as substring.

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 (12201221220017) 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, 695653539 + ... + 695671077.

Almost surely, 212201221220012 is an apocalyptic number.

12201221220012 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 12201221220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17526383347200).

12201221220012 is an abundant number, since it is smaller than the sum of its proper divisors (22851545474388).

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

12201221220012 is a wasteful number, since it uses less digits than its factorization.

12201221220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18272 counting only the distinct ones).

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

Adding to 12201221220012 its reverse (21002212210221), we get a palindrome (33203433430233).

The spelling of 12201221220012 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty thousand, twelve".