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12222130020320 = 25511311012217947
BaseRepresentation
bin1011000111011010111110…
…1101111101111111100000
31121021102110020220022010002
42301312233231331333200
53100221410241122240
641554434035155132
72401006530022133
oct261665755757740
947242406808102
1012222130020320
1139924158478a0
121454892745aa8
136a870778582c
143037a8c0821a
15162dd4107d15
hexb1dafb7dfe0

12222130020320 has 192 divisors, whose sum is σ = 32837837985792. Its totient is φ = 4258456320000.

The previous prime is 12222130020301. The next prime is 12222130020379. The reversal of 12222130020320 is 2302003122221.

It is a happy number.

It is a super-2 number, since 2×122221300203202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12222130020292 and 12222130020301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4401587 + ... + 6619533.

It is an arithmetic number, because the mean of its divisors is an integer number (171030406176).

Almost surely, 212222130020320 is an apocalyptic number.

12222130020320 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 12222130020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16418918992896).

12222130020320 is an abundant number, since it is smaller than the sum of its proper divisors (20615707965472).

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

12222130020320 is a wasteful number, since it uses less digits than its factorization.

12222130020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218105 (or 2218097 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12222130020320 its reverse (2302003122221), we get a palindrome (14524133142541).

The spelling of 12222130020320 in words is "twelve trillion, two hundred twenty-two billion, one hundred thirty million, twenty thousand, three hundred twenty".