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12120121321200 = 24325210133333667
BaseRepresentation
bin1011000001011110111110…
…0001101010011011110000
31120220200011002112110200200
42300113233201222123300
53042034002024234300
641435523514515200
72360435622261024
oct260275741523360
946820132473620
1012120121321200
113953129573382
121438b64135b00
1369bbcba74339
142dc88d0a6384
1516041388d200
hexb05ef86a6f0

12120121321200 has 180 divisors, whose sum is σ = 42476626461048. Its totient is φ = 3200031936000.

The previous prime is 12120121321157. The next prime is 12120121321229. The reversal of 12120121321200 is 212312102121.

12120121321200 is a `hidden beast` number, since 1 + 2 + 1 + 20 + 121 + 321 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 16303234 + ... + 17030433.

Almost surely, 212120121321200 is an apocalyptic number.

12120121321200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120121321200 is an abundant number, since it is smaller than the sum of its proper divisors (30356505139848).

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

12120121321200 is a wasteful number, since it uses less digits than its factorization.

12120121321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333792 (or 33333778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12120121321200 its reverse (212312102121), we get a palindrome (12332433423321).

The spelling of 12120121321200 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred".