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12021331300 = 22521119954917
BaseRepresentation
bin10110011001000011…
…01111010101100100
31011000210020220101121
423030201233111210
5144104430100200
65304510503324
7603620426056
oct131441572544
934023226347
1012021331300
115109801150
1223b5b04b44
1311976c2bb4
148207b18d6
154a5585e1a
hex2cc86f564

12021331300 has 72 divisors (see below), whose sum is σ = 28601294400. Its totient is φ = 4349347200.

The previous prime is 12021331291. The next prime is 12021331303. The reversal of 12021331300 is 313312021.

12021331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12021331303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 191442 + ... + 246358.

It is an arithmetic number, because the mean of its divisors is an integer number (397240200).

Almost surely, 212021331300 is an apocalyptic number.

12021331300 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 12021331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300647200).

12021331300 is an abundant number, since it is smaller than the sum of its proper divisors (16579963100).

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

12021331300 is a wasteful number, since it uses less digits than its factorization.

12021331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55141 (or 55134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12021331300 its reverse (313312021), we get a palindrome (12334643321).

The spelling of 12021331300 in words is "twelve billion, twenty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 199 220 275 398 550 796 995 1100 1990 2189 3980 4378 4975 8756 9950 10945 19900 21890 43780 54725 54917 109450 109834 218900 219668 274585 549170 604087 1098340 1208174 1372925 2416348 2745850 3020435 5491700 6040870 10928483 12081740 15102175 21856966 30204350 43713932 54642415 60408700 109284830 120213313 218569660 240426626 273212075 480853252 546424150 601066565 1092848300 1202133130 2404266260 3005332825 6010665650 12021331300