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12223322232000 = 263531124639091
BaseRepresentation
bin1011000111011111011011…
…0001111001010011000000
31121021112112100020221002020
42301313312301321103000
53100231330442411000
641555152224321440
72401051214452005
oct261676661712300
947245470227066
1012223322232000
113992977814100
121454b65a73280
136a8867781029
1430387d2ab8ac
15162e53b05ba0
hexb1df6c794c0

12223322232000 has 672 divisors, whose sum is σ = 44464904020992. Its totient is φ = 2956504320000.

The previous prime is 12223322231999. The next prime is 12223322232019. The reversal of 12223322232000 is 23222332221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1344547455 + ... + 1344556545.

It is an arithmetic number, because the mean of its divisors is an integer number (66168011936).

Almost surely, 212223322232000 is an apocalyptic number.

12223322232000 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 12223322232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22232452010496).

12223322232000 is an abundant number, since it is smaller than the sum of its proper divisors (32241581788992).

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

12223322232000 is a wasteful number, since it uses less digits than its factorization.

12223322232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12223322232000 its reverse (23222332221), we get a palindrome (12246544564221).

The spelling of 12223322232000 in words is "twelve trillion, two hundred twenty-three billion, three hundred twenty-two million, two hundred thirty-two thousand".