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12201202221120 = 2633511906714159
BaseRepresentation
bin1011000110001101000001…
…0100110000000001000000
31121012102102202112221122000
42301203100110300001000
53044401030232033440
641541053243544000
72366336110455243
oct261432024600100
947172382487560
1012201202221120
113984556629580
121450811b2b000
136a6750b001b3
1430278160b25a
151625abbbd730
hexb18d0530040

12201202221120 has 448 divisors, whose sum is σ = 46964637388800. Its totient is φ = 2957332101120.

The previous prime is 12201202221119. The next prime is 12201202221149. The reversal of 12201202221120 is 2112220210221.

It is a happy number.

12201202221120 is a `hidden beast` number, since 1 + 220 + 1 + 202 + 221 + 1 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201202221093 and 12201202221102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861720601 + ... + 861734759.

Almost surely, 212201202221120 is an apocalyptic number.

12201202221120 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 12201202221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482318694400).

12201202221120 is an abundant number, since it is smaller than the sum of its proper divisors (34763435167680).

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

12201202221120 is a wasteful number, since it uses less digits than its factorization.

12201202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23263 (or 23247 counting only the distinct ones).

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

Adding to 12201202221120 its reverse (2112220210221), we get a palindrome (14313422431341).

The spelling of 12201202221120 in words is "twelve trillion, two hundred one billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".