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12041320000 = 2654461653
BaseRepresentation
bin10110011011011011…
…11111011001000000
31011002011212102201211
423031231333121000
5144130034220000
65310503135504
7604252350133
oct131555773100
934064772654
1012041320000
11511a013a36
122400744594
13119b8a1128
148232d621a
154a71d37ba
hex2cdb7f640

12041320000 has 140 divisors (see below), whose sum is σ = 29969153676. Its totient is φ = 4798720000.

The previous prime is 12041319911. The next prime is 12041320021. The reversal of 12041320000 is 2314021.

It can be written as a sum of positive squares in 10 ways, for example, as 11191947264 + 849372736 = 105792^2 + 29144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18439674 + ... + 18440326.

Almost surely, 212041320000 is an apocalyptic number.

12041320000 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 12041320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984576838).

12041320000 is an abundant number, since it is smaller than the sum of its proper divisors (17927833676).

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

12041320000 is an frugal number, since it uses more digits than its factorization.

12041320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12041320000 its reverse (2314021), we get a palindrome (12043634021).

The spelling of 12041320000 in words is "twelve billion, forty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 461 500 625 653 800 922 1000 1250 1306 1600 1844 2000 2305 2500 2612 3265 3688 4000 4610 5000 5224 6530 7376 8000 9220 10000 10448 11525 13060 14752 16325 18440 20000 20896 23050 26120 29504 32650 36880 40000 41792 46100 52240 57625 65300 73760 81625 92200 104480 115250 130600 147520 163250 184400 208960 230500 261200 288125 301033 326500 368800 408125 461000 522400 576250 602066 653000 737600 816250 922000 1044800 1152500 1204132 1306000 1505165 1632500 1844000 2305000 2408264 2612000 3010330 3265000 3688000 4610000 4816528 5224000 6020660 6530000 7525825 9220000 9633056 12041320 13060000 15051650 18440000 19266112 24082640 26120000 30103300 37629125 48165280 60206600 75258250 96330560 120413200 150516500 188145625 240826400 301033000 376291250 481652800 602066000 752582500 1204132000 1505165000 2408264000 3010330000 6020660000 12041320000