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12123203142320 = 2451941615216121
BaseRepresentation
bin1011000001101010011100…
…1101111000001010110000
31120220222002212112012111122
42300122213031320022300
53042111310001023240
641441153405001412
72360605163313164
oct260324715701260
946828085465448
1012123203142320
113954470139186
121439684253268
1369c2a03a5b2a
142dcaa24caca4
151605441e54b5
hexb06a73782b0

12123203142320 has 320 divisors, whose sum is σ = 30956207425920. Its totient is φ = 4399349760000.

The previous prime is 12123203142269. The next prime is 12123203142359. The reversal of 12123203142320 is 2324130232121.

It is a self number, because there is not a number n which added to its sum of digits gives 12123203142320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1980588860 + ... + 1980594980.

It is an arithmetic number, because the mean of its divisors is an integer number (96738148206).

Almost surely, 212123203142320 is an apocalyptic number.

12123203142320 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 12123203142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478103712960).

12123203142320 is an abundant number, since it is smaller than the sum of its proper divisors (18833004283600).

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

12123203142320 is a wasteful number, since it uses less digits than its factorization.

12123203142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12123203142320 its reverse (2324130232121), we get a palindrome (14447333374441).

The spelling of 12123203142320 in words is "twelve trillion, one hundred twenty-three billion, two hundred three million, one hundred forty-two thousand, three hundred twenty".