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12221220202000 = 2453177125719699
BaseRepresentation
bin1011000111010111100101…
…1111010010011000010000
31121021100002211220202000021
42301311321133102120100
53100213024332431000
641554203454433224
72400645141501445
oct261657137223020
947240084822007
1012221220202000
113991a99219927
121454679b02814
136a85c11321b4
143037200539cc
15162d7e2dc11a
hexb1d797d2610

12221220202000 has 320 divisors, whose sum is σ = 31854971865600. Its totient is φ = 4518248448000.

The previous prime is 12221220201991. The next prime is 12221220202003. The reversal of 12221220202000 is 20202212221.

12221220202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12221220202003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620388151 + ... + 620407849.

It is an arithmetic number, because the mean of its divisors is an integer number (99546787080).

Almost surely, 212221220202000 is an apocalyptic number.

12221220202000 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 12221220202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927485932800).

12221220202000 is an abundant number, since it is smaller than the sum of its proper divisors (19633751663600).

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

12221220202000 is a wasteful number, since it uses less digits than its factorization.

12221220202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20067 (or 20051 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12221220202000 its reverse (20202212221), we get a palindrome (12241422414221).

The spelling of 12221220202000 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, two hundred two thousand".