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2012123454000 = 243531130486719
BaseRepresentation
bin11101010001111011111…
…001110101101000110000
321010100122100021010100220
4131101323321311220300
5230431312101012000
64140205020413040
7265241203110012
oct35217371655060
97110570233326
102012123454000
11706378263260
12285b680a7180
13117986161caa
146d55ca461b2
15375174d71a0
hex1d47be75a30

2012123454000 has 160 divisors (see below), whose sum is σ = 7076821340160. Its totient is φ = 487787488000.

The previous prime is 2012123453987. The next prime is 2012123454017. The reversal of 2012123454000 is 4543212102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15177360 + ... + 15309359.

It is an arithmetic number, because the mean of its divisors is an integer number (44230133376).

Almost surely, 22012123454000 is an apocalyptic number.

2012123454000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012123454000 is an abundant number, since it is smaller than the sum of its proper divisors (5064697886160).

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

2012123454000 is a wasteful number, since it uses less digits than its factorization.

2012123454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30486756 (or 30486740 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2012123454000 its reverse (4543212102), we get a palindrome (2016666666102).

The spelling of 2012123454000 in words is "two trillion, twelve billion, one hundred twenty-three million, four hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 30486719 60973438 91460157 121946876 152433595 182920314 243893752 304867190 335353909 365840628 457300785 487787504 609734380 670707818 731681256 762167975 914601570 1006061727 1219468760 1341415636 1463362512 1524335950 1676769545 1829203140 2012123454 2286503925 2438937520 2682831272 3048671900 3353539090 3658406280 3810839875 4024246908 4573007850 5030308635 5365662544 6097343800 6707078180 7316812560 7621679750 8048493816 8383847725 9146015700 10060617270 11432519625 12194687600 13414156360 15243359500 16096987632 16767695450 18292031400 20121234540 22865039250 25151543175 26828312720 30486719000 33535390900 36584062800 40242469080 41919238625 45730078500 50303086350 60973438000 67070781800 80484938160 83838477250 91460157000 100606172700 125757715875 134141563600 167676954500 182920314000 201212345400 251515431750 335353909000 402424690800 503030863500 670707818000 1006061727000 2012123454000