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12211021220200 = 235211101151363941
BaseRepresentation
bin1011000110110001100110…
…0101010000100101101000
31121020100210001201210011121
42301230121211100211220
53100031132413021300
641545355443105024
72400134326542565
oct261543145204550
947210701653147
1012211021220200
113988735157950
1214526b2372174
136a765715601a
143030336d586c
15162983c2681a
hexb1b19950968

12211021220200 has 192 divisors, whose sum is σ = 31485466765440. Its totient is φ = 4367280000000.

The previous prime is 12211021220159. The next prime is 12211021220207. The reversal of 12211021220200 is 202212011221.

Adding to 12211021220200 its reverse (202212011221), we get a palindrome (12413233231421).

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12211021220207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33370230 + ... + 33734170.

It is an arithmetic number, because the mean of its divisors is an integer number (163986806070).

Almost surely, 212211021220200 is an apocalyptic number.

12211021220200 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 12211021220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742733382720).

12211021220200 is an abundant number, since it is smaller than the sum of its proper divisors (19274445545240).

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

12211021220200 is a wasteful number, since it uses less digits than its factorization.

12211021220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364220 (or 364211 counting only the distinct ones).

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

The spelling of 12211021220200 in words is "twelve trillion, two hundred eleven billion, twenty-one million, two hundred twenty thousand, two hundred".