Search a number
-
+
12221003220000 = 253541675212341
BaseRepresentation
bin1011000111010110110010…
…0011100100010000100000
31121021022112201121220122220
42301311230203210100200
53100212103311020000
641554130144031040
72400636565255041
oct261655443442040
947238481556586
1012221003220000
113991997798063
121454619302480
136a85881b0393
143036dd2d08c8
15162d6a22b1a0
hexb1d6c8e4420

12221003220000 has 480 divisors, whose sum is σ = 40422042105984. Its totient is φ = 3231820800000.

The previous prime is 12221003219993. The next prime is 12221003220017. The reversal of 12221003220000 is 2230012221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 5220418830 + ... + 5220421170.

Almost surely, 212221003220000 is an apocalyptic number.

12221003220000 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 12221003220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211021052992).

12221003220000 is an abundant number, since it is smaller than the sum of its proper divisors (28201038885984).

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

12221003220000 is a wasteful number, since it uses less digits than its factorization.

12221003220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12221003220000 its reverse (2230012221), we get a palindrome (12223233232221).

The spelling of 12221003220000 in words is "twelve trillion, two hundred twenty-one billion, three million, two hundred twenty thousand".