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12330873000 = 233453414779
BaseRepresentation
bin10110111101111101…
…00011000010101000
31011211100201020210000
423132332203002220
5200223200414000
65355325223000
7614366456025
oct133676430250
934740636700
1012330873000
115258502436
122481701a60
131216881a74
1484d94a54c
154c282c000
hex2defa30a8

12330873000 has 640 divisors, whose sum is σ = 45664819200. Its totient is φ = 3100032000.

The previous prime is 12330872987. The next prime is 12330873017. The reversal of 12330873000 is 37803321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 156086961 + ... + 156087039.

It is an arithmetic number, because the mean of its divisors is an integer number (71351280).

Almost surely, 212330873000 is an apocalyptic number.

12330873000 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 12330873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22832409600).

12330873000 is an abundant number, since it is smaller than the sum of its proper divisors (33333946200).

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

12330873000 is a wasteful number, since it uses less digits than its factorization.

12330873000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 12330873000 in words is "twelve billion, three hundred thirty million, eight hundred seventy-three thousand".