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12026621000 = 235312499629
BaseRepresentation
bin10110011001101011…
…11010110001001000
31011001011012122111102
423030311322301020
5144112303333000
65305220120532
7604013406662
oct131465726110
934034178442
1012026621000
1151117943a9
1223b7836148
1311988257b4
1482138b532
154a5c7d3d5
hex2ccd7ac48

12026621000 has 64 divisors (see below), whose sum is σ = 28167750000. Its totient is φ = 4806297600.

The previous prime is 12026620999. The next prime is 12026621017. The reversal of 12026621000 is 12662021.

It is a happy number.

12026621000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2524660516 + 9501960484 = 50246^2 + 97478^2 .

It is a super-2 number, since 2×120266210002 (a number of 21 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 1244186 + ... + 1253814.

Almost surely, 212026621000 is an apocalyptic number.

12026621000 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 12026621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14083875000).

12026621000 is an abundant number, since it is smaller than the sum of its proper divisors (16141129000).

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

12026621000 is a wasteful number, since it uses less digits than its factorization.

12026621000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 12026621000 in words is "twelve billion, twenty-six million, six hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1249 2498 4996 6245 9629 9992 12490 19258 24980 31225 38516 48145 49960 62450 77032 96290 124900 156125 192580 240725 249800 312250 385160 481450 624500 962900 1203625 1249000 1925800 2407250 4814500 9629000 12026621 24053242 48106484 60133105 96212968 120266210 240532420 300665525 481064840 601331050 1202662100 1503327625 2405324200 3006655250 6013310500 12026621000