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12220024000 = 26536412383
BaseRepresentation
bin10110110000101111…
…01100010011000000
31011112122010112112111
423120113230103000
5200011311232000
65340325305104
7611552330062
oct133027542300
934478115474
1012220024000
115200980998
122450565194
1311c9910142
1483cd33732
154b7c32cba
hex2d85ec4c0

12220024000 has 112 divisors (see below), whose sum is σ = 30322820736. Its totient is φ = 4878336000.

The previous prime is 12220023971. The next prime is 12220024001. The reversal of 12220024000 is 42002221.

It is not an unprimeable number, because it can be changed into a prime (12220024001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5126809 + ... + 5129191.

Almost surely, 212220024000 is an apocalyptic number.

12220024000 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 12220024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15161410368).

12220024000 is an abundant number, since it is smaller than the sum of its proper divisors (18102796736).

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

12220024000 is an equidigital number, since it uses as much as digits as its factorization.

12220024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12220024000 its reverse (42002221), we get a palindrome (12262026221).

The spelling of 12220024000 in words is "twelve billion, two hundred twenty million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 641 800 1000 1282 1600 2000 2383 2564 3205 4000 4766 5128 6410 8000 9532 10256 11915 12820 16025 19064 20512 23830 25640 32050 38128 41024 47660 51280 59575 64100 76256 80125 95320 102560 119150 128200 152512 160250 190640 205120 238300 256400 297875 320500 381280 476600 512800 595750 641000 762560 953200 1025600 1191500 1282000 1527503 1906400 2383000 2564000 3055006 3812800 4766000 5128000 6110012 7637515 9532000 12220024 15275030 19064000 24440048 30550060 38187575 48880096 61100120 76375150 97760192 122200240 152750300 190937875 244400480 305500600 381875750 488800960 611001200 763751500 1222002400 1527503000 2444004800 3055006000 6110012000 12220024000