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12122314324240 = 2451031471154651
BaseRepresentation
bin1011000001100111001000…
…1111010011100100010000
31120220212210221001120022111
42300121302033103210100
53042102444431333430
641440525254315104
72360544151425631
oct260316217234420
946825727046274
1012122314324240
113954054453a8a
121439476658a94
1369c18b1c5c83
142dca1a441888
151604e1176c2a
hexb06723d3910

12122314324240 has 40 divisors (see below), whose sum is σ = 28458015588288. Its totient is φ = 4801848777600.

The previous prime is 12122314324229. The next prime is 12122314324261. The reversal of 12122314324240 is 4242341322121.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 735569086 + ... + 735585565.

Almost surely, 212122314324240 is an apocalyptic number.

12122314324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122314324240 is an abundant number, since it is smaller than the sum of its proper divisors (16335701264048).

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

12122314324240 is a wasteful number, since it uses less digits than its factorization.

12122314324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471154767 (or 1471154761 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 12122314324240 its reverse (4242341322121), we get a palindrome (16364655646361).

The spelling of 12122314324240 in words is "twelve trillion, one hundred twenty-two billion, three hundred fourteen million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 1471154651 2942309302 5884618604 7355773255 11769237208 14711546510 23538474416 29423093020 58846186040 117692372080 151528929053 303057858106 606115716212 757644645265 1212231432424 1515289290530 2424462864848 3030578581060 6061157162120 12122314324240