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12031332000 = 253531952769
BaseRepresentation
bin10110011010001111…
…11000111010100000
31011001111001222202220
423031013320322200
5144120010111000
65305505111040
7604101430452
oct131507707240
934044058686
1012031332000
115114411896
1223b9328480
1311997b4b7c
14821c562d2
154a63ae1a0
hex2cd1f8ea0

12031332000 has 192 divisors, whose sum is σ = 41489884800. Its totient is φ = 3039436800.

The previous prime is 12031331971. The next prime is 12031332013. The reversal of 12031332000 is 23313021.

12031332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201616 + ... + 254384.

It is an arithmetic number, because the mean of its divisors is an integer number (216093150).

Almost surely, 212031332000 is an apocalyptic number.

12031332000 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 12031332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744942400).

12031332000 is an abundant number, since it is smaller than the sum of its proper divisors (29458552800).

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

12031332000 is a wasteful number, since it uses less digits than its factorization.

12031332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52816 (or 52798 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12031332000 its reverse (23313021), we get a palindrome (12054645021).

The spelling of 12031332000 in words is "twelve billion, thirty-one million, three hundred thirty-two thousand".