Search a number
-
+
12222010200000 = 2635537550541
BaseRepresentation
bin1011000111011010100010…
…0100111000111111000000
31121021102010220102210112110
42301312220210320333000
53100221134102400000
641554414115055320
72401003543406556
oct261665044707700
947242126383473
1012222010200000
113992364149037
12145485a5a1540
136a86b89c2633
14303796d37bd6
15162dc883a850
hexb1da8938fc0

12222010200000 has 336 divisors, whose sum is σ = 41511650771808. Its totient is φ = 3171110400000.

The previous prime is 12222010199953. The next prime is 12222010200077. The reversal of 12222010200000 is 201022221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21924730 + ... + 22475270.

It is an arithmetic number, because the mean of its divisors is an integer number (123546579678).

Almost surely, 212222010200000 is an apocalyptic number.

12222010200000 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 12222010200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20755825385904).

12222010200000 is an abundant number, since it is smaller than the sum of its proper divisors (29289640571808).

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

12222010200000 is an frugal number, since it uses more digits than its factorization.

12222010200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550618 (or 550588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12222010200000 its reverse (201022221), we get a palindrome (12222211222221).

The spelling of 12222010200000 in words is "twelve trillion, two hundred twenty-two billion, ten million, two hundred thousand".