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12211012220000 = 255411317324527
BaseRepresentation
bin1011000110110001100100…
…0010111011010001100000
31121020100202102210112012212
42301230121002323101200
53100031123112020000
641545354522141252
72400134160206126
oct261543102732140
947210672715185
1012211012220000
11398873006a970
1214526ab351828
136a7655324569
14303032431916
15162983049c35
hexb1b190bb460

12211012220000 has 480 divisors, whose sum is σ = 34293883244544. Its totient is φ = 4238092800000.

The previous prime is 12211012219999. The next prime is 12211012220027. The reversal of 12211012220000 is 2221011221.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 497847737 + ... + 497872263.

Almost surely, 212211012220000 is an apocalyptic number.

12211012220000 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 12211012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146941622272).

12211012220000 is an abundant number, since it is smaller than the sum of its proper divisors (22082871024544).

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

12211012220000 is a wasteful number, since it uses less digits than its factorization.

12211012220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24672 (or 24649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12211012220000 its reverse (2221011221), we get a palindrome (12213233231221).

The spelling of 12211012220000 in words is "twelve trillion, two hundred eleven billion, twelve million, two hundred twenty thousand".