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12230321220 = 22355131759193
BaseRepresentation
bin10110110001111101…
…11110010001000100
31011120100111200200000
423120332332101010
5200021430234340
65341334121300
7612036005115
oct133076762104
934510450600
1012230321220
115206774397
122453ab0230
1311cbaa7080
1484045420c
154b8ab8d30
hex2d8fbe444

12230321220 has 576 divisors, whose sum is σ = 44843984640. Its totient is φ = 2770993152.

The previous prime is 12230321183. The next prime is 12230321269. The reversal of 12230321220 is 2212303221.

12230321220 is a `hidden beast` number, since 122 + 3 + 0 + 321 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12230321193 and 12230321202.

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, 63369444 + ... + 63369636.

It is an arithmetic number, because the mean of its divisors is an integer number (77854140).

Almost surely, 212230321220 is an apocalyptic number.

12230321220 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 12230321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22421992320).

12230321220 is an abundant number, since it is smaller than the sum of its proper divisors (32613663420).

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

12230321220 is a wasteful number, since it uses less digits than its factorization.

12230321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

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

Adding to 12230321220 its reverse (2212303221), we get a palindrome (14442624441).

The spelling of 12230321220 in words is "twelve billion, two hundred thirty million, three hundred twenty-one thousand, two hundred twenty".