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12122330220000 = 25325471113193541
BaseRepresentation
bin1011000001100111001100…
…1011111100010111100000
31120220212212000222011012100
42300121303023330113200
53042103013014020000
641440531023130400
72360544433512150
oct260316313742740
946825760864170
1012122330220000
113954062420780
12143947ba43a00
1369c1915a0250
142dca1c5bc760
151604e2766a00
hexb06732fc5e0

12122330220000 has 2880 divisors, whose sum is σ = 60899363965440. Its totient is φ = 2202163200000.

The previous prime is 12122330219999. The next prime is 12122330220023. The reversal of 12122330220000 is 2203322121.

12122330220000 is a `hidden beast` number, since 1 + 212 + 233 + 0 + 220 + 0 + 0 + 0 = 666.

12122330220000 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3423418230 + ... + 3423421770.

It is an arithmetic number, because the mean of its divisors is an integer number (21145612488).

Almost surely, 212122330220000 is an apocalyptic number.

12122330220000 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 12122330220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30449681982720).

12122330220000 is an abundant number, since it is smaller than the sum of its proper divisors (48777033745440).

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

12122330220000 is a wasteful number, since it uses less digits than its factorization.

12122330220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12122330220000 its reverse (2203322121), we get a palindrome (12124533542121).

The spelling of 12122330220000 in words is "twelve trillion, one hundred twenty-two billion, three hundred thirty million, two hundred twenty thousand".