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12041444000 = 25535635347
BaseRepresentation
bin10110011011011100…
…11101101010100000
31011002012002201211102
423031232131222200
5144130102202000
65310505533532
7604253404505
oct131556355240
934065081742
1012041444000
11511a099113
1224007a42a8
13119b9156c1
148233294ac
154a720a3d5
hex2cdb9daa0

12041444000 has 96 divisors (see below), whose sum is σ = 29643921216. Its totient is φ = 4807123200.

The previous prime is 12041443993. The next prime is 12041444057. The reversal of 12041444000 is 44414021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249327 + ... + 2254673.

It is an arithmetic number, because the mean of its divisors is an integer number (308790846).

Almost surely, 212041444000 is an apocalyptic number.

12041444000 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 12041444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821960608).

12041444000 is an abundant number, since it is smaller than the sum of its proper divisors (17602477216).

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

12041444000 is an equidigital number, since it uses as much as digits as its factorization.

12041444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12041444000 its reverse (44414021), we get a palindrome (12085858021).

The spelling of 12041444000 in words is "twelve billion, forty-one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 563 800 1000 1126 2000 2252 2815 4000 4504 5347 5630 9008 10694 11260 14075 18016 21388 22520 26735 28150 42776 45040 53470 56300 70375 85552 90080 106940 112600 133675 140750 171104 213880 225200 267350 281500 427760 450400 534700 563000 668375 855520 1069400 1126000 1336750 2138800 2252000 2673500 3010361 4277600 5347000 6020722 10694000 12041444 15051805 21388000 24082888 30103610 48165776 60207220 75259025 96331552 120414440 150518050 240828880 301036100 376295125 481657760 602072200 752590250 1204144400 1505180500 2408288800 3010361000 6020722000 12041444000