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12041144000 = 265323312111
BaseRepresentation
bin10110011011011010…
…10100011011000000
31011002011112111022022
423031231110123000
5144130013102000
65310455301012
7604251015044
oct131555243300
934064474268
1012041144000
115119a03786
12240067a768
13119b83bca2
1482328c024
154a719b585
hex2cdb546c0

12041144000 has 224 divisors, whose sum is σ = 32135380992. Its totient is φ = 4456320000.

The previous prime is 12041143993. The next prime is 12041144009. The reversal of 12041144000 is 44114021.

It is a self number, because there is not a number n which added to its sum of digits gives 12041144000.

It is not an unprimeable number, because it can be changed into a prime (12041144009) 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, 5702945 + ... + 5705055.

Almost surely, 212041144000 is an apocalyptic number.

12041144000 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 12041144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067690496).

12041144000 is an abundant number, since it is smaller than the sum of its proper divisors (20094236992).

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

12041144000 is a wasteful number, since it uses less digits than its factorization.

12041144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12041144000 its reverse (44114021), we get a palindrome (12085258021).

The spelling of 12041144000 in words is "twelve billion, forty-one million, one hundred forty-four thousand".