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12220324000 = 255331139709
BaseRepresentation
bin10110110000110001…
…10101100010100000
31011112122200210001121
423120120311202200
5200011400332000
65340335542024
7611555016523
oct133030654240
934478623047
1012220324000
115201066325
12245068a914
1311c99b6861
1483cdb0bba
154b7c91b1a
hex2d86358a0

12220324000 has 192 divisors, whose sum is σ = 31260902400. Its totient is φ = 4689792000.

The previous prime is 12220323991. The next prime is 12220324009. The reversal of 12220324000 is 42302221.

It is an interprime number because it is at equal distance from previous prime (12220323991) and next prime (12220324009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12220324009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17235646 + ... + 17236354.

It is an arithmetic number, because the mean of its divisors is an integer number (162817200).

Almost surely, 212220324000 is an apocalyptic number.

12220324000 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 12220324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15630451200).

12220324000 is an abundant number, since it is smaller than the sum of its proper divisors (19040578400).

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

12220324000 is a wasteful number, since it uses less digits than its factorization.

12220324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12220324000 its reverse (42302221), we get a palindrome (12262626221).

The spelling of 12220324000 in words is "twelve billion, two hundred twenty million, three hundred twenty-four thousand".