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12028123744 = 257134396059
BaseRepresentation
bin10110011001110111…
…01001101001100000
31011001021000222212121
423030323221221200
5144113144424434
65305312234024
7604032236110
oct131473515140
934037028777
1012028123744
11511262043a
1223b823b914
131198c307b0
1482165d040
154a5e787b4
hex2ccee9a60

12028123744 has 96 divisors (see below), whose sum is σ = 29823171840. Its totient is φ = 4647670272.

The previous prime is 12028123741. The next prime is 12028123759. The reversal of 12028123744 is 44732182021.

12028123744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12028123741) 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 15 ways as a sum of consecutive naturals, for example, 77187 + ... + 173245.

It is an arithmetic number, because the mean of its divisors is an integer number (310658040).

Almost surely, 212028123744 is an apocalyptic number.

12028123744 is a gapful number since it is divisible by the number (14) 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 12028123744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911585920).

12028123744 is an abundant number, since it is smaller than the sum of its proper divisors (17795048096).

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

12028123744 is a wasteful number, since it uses less digits than its factorization.

12028123744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96132 (or 96124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 12028123744 in words is "twelve billion, twenty-eight million, one hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 86 91 104 112 172 182 208 224 301 344 364 416 559 602 688 728 1118 1204 1376 1456 2236 2408 2912 3913 4472 4816 7826 8944 9632 15652 17888 31304 62608 96059 125216 192118 384236 672413 768472 1248767 1344826 1536944 2497534 2689652 3073888 4130537 4995068 5379304 8261074 8741369 9990136 10758608 16522148 17482738 19980272 21517216 28913759 33044296 34965476 39960544 53696981 57827518 66088592 69930952 107393962 115655036 132177184 139861904 214787924 231310072 279723808 375878867 429575848 462620144 751757734 859151696 925240288 1503515468 1718303392 3007030936 6014061872 12028123744