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12244421000 = 2353717310111
BaseRepresentation
bin10110110011101001…
…10000100110001000
31011121100001000221002
423121310300212020
5200034032433000
65343000234132
7612266601260
oct133164604610
934540030832
1012244421000
1152137247a9
12245876b948
1312019a2a36
148422847a0
154b9e518d5
hex2d9d30988

12244421000 has 128 divisors (see below), whose sum is σ = 32937615360. Its totient is φ = 4173408000.

The previous prime is 12244420999. The next prime is 12244421017. The reversal of 12244421000 is 12444221.

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 31 ways as a sum of consecutive naturals, for example, 1205945 + ... + 1216055.

It is an arithmetic number, because the mean of its divisors is an integer number (257325120).

Almost surely, 212244421000 is an apocalyptic number.

12244421000 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 12244421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468807680).

12244421000 is an abundant number, since it is smaller than the sum of its proper divisors (20693194360).

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

12244421000 is a wasteful number, since it uses less digits than its factorization.

12244421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312 (or 10298 counting only the distinct ones).

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

Adding to 12244421000 its reverse (12444221), we get a palindrome (12256865221).

The spelling of 12244421000 in words is "twelve billion, two hundred forty-four million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 173 175 200 250 280 346 350 500 692 700 865 875 1000 1211 1384 1400 1730 1750 2422 3460 3500 4325 4844 6055 6920 7000 8650 9688 10111 12110 17300 20222 21625 24220 30275 34600 40444 43250 48440 50555 60550 70777 80888 86500 101110 121100 141554 151375 173000 202220 242200 252775 283108 302750 353885 404440 505550 566216 605500 707770 1011100 1211000 1263875 1415540 1749203 1769425 2022200 2527750 2831080 3498406 3538850 5055500 6996812 7077700 8746015 8847125 10111000 12244421 13993624 14155400 17492030 17694250 24488842 34984060 35388500 43730075 48977684 61222105 69968120 70777000 87460150 97955368 122444210 174920300 218650375 244888420 306110525 349840600 437300750 489776840 612221050 874601500 1224442100 1530552625 1749203000 2448884200 3061105250 6122210500 12244421000