Search a number
-
+
12221001202020 = 223513219532574657
BaseRepresentation
bin1011000111010110110001…
…1011110111100101100100
31121021022112120211101111220
42301311230123313211210
53100212102301431040
641554130032500340
72400636542151522
oct261655433674544
947238476741456
1012221001202020
113991996639a06
1214546186aa6b0
136a8587954a00
143036dcd27312
15162d69e7d2d0
hexb1d6c6f7964

12221001202020 has 576 divisors, whose sum is σ = 39902795009280. Its totient is φ = 2784667631616.

The previous prime is 12221001201991. The next prime is 12221001202031. The reversal of 12221001202020 is 2020210012221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2624219532 + ... + 2624224188.

It is an arithmetic number, because the mean of its divisors is an integer number (69275685780).

Almost surely, 212221001202020 is an apocalyptic number.

12221001202020 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 12221001202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951397504640).

12221001202020 is an abundant number, since it is smaller than the sum of its proper divisors (27681793807260).

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

12221001202020 is a wasteful number, since it uses less digits than its factorization.

12221001202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12221001202020 its reverse (2020210012221), we get a palindrome (14241211214241).

The spelling of 12221001202020 in words is "twelve trillion, two hundred twenty-one billion, one million, two hundred two thousand, twenty".