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12041252400 = 2435229346013
BaseRepresentation
bin10110011011011011…
…01110111000110000
31011002011202000000010
423031231232320300
5144130030034100
65310501454520
7604251646062
oct131555567060
934064660003
1012041252400
115119a78171
122400711440
13119b879428
148232b9732
154a71bd750
hex2cdb6ee30

12041252400 has 120 divisors (see below), whose sum is σ = 39902334480. Its totient is φ = 3100267520.

The previous prime is 12041252381. The next prime is 12041252411. The reversal of 12041252400 is 425214021.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 138207 + ... + 207806.

It is an arithmetic number, because the mean of its divisors is an integer number (332519454).

Almost surely, 212041252400 is an apocalyptic number.

12041252400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041252400 is an abundant number, since it is smaller than the sum of its proper divisors (27861082080).

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

12041252400 is a wasteful number, since it uses less digits than its factorization.

12041252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346063 (or 346052 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 12041252400 its reverse (425214021), we get a palindrome (12466466421).

The spelling of 12041252400 in words is "twelve billion, forty-one million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 346013 692026 1038039 1384052 1730065 2076078 2768104 3460130 4152156 5190195 5536208 6920260 8304312 8650325 10034377 10380390 13840520 16608624 17300650 20068754 20760780 25950975 27681040 30103131 34601300 40137508 41521560 50171885 51901950 60206262 69202600 80275016 83043120 100343770 103803900 120412524 138405200 150515655 160550032 200687540 207607800 240825048 250859425 301031310 401375080 415215600 481650096 501718850 602062620 752578275 802750160 1003437700 1204125240 1505156550 2006875400 2408250480 3010313100 4013750800 6020626200 12041252400