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12233322000 = 2433531012243
BaseRepresentation
bin10110110010010100…
…11010111000010000
31011120120011010222000
423121022122320100
5200023212301000
65341522314000
7612103343544
oct133112327020
934516133860
1012233322000
115208433979
122454ab8900
1311cc5b7b93
148409d5a24
154b8ead000
hex2d929ae10

12233322000 has 320 divisors, whose sum is σ = 44276094720. Its totient is φ = 3228480000.

The previous prime is 12233321993. The next prime is 12233322011. The reversal of 12233322000 is 22333221.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5452879 + ... + 5455121.

It is an arithmetic number, because the mean of its divisors is an integer number (138362796).

Almost surely, 212233322000 is an apocalyptic number.

12233322000 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 12233322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138047360).

12233322000 is an abundant number, since it is smaller than the sum of its proper divisors (32042772720).

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

12233322000 is a wasteful number, since it uses less digits than its factorization.

12233322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12233322000 its reverse (22333221), we get a palindrome (12255655221).

The spelling of 12233322000 in words is "twelve billion, two hundred thirty-three million, three hundred twenty-two thousand".