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12122132220000 = 2533541112716069
BaseRepresentation
bin1011000001100110011101…
…1000101000100001100000
31120220212100020101201021000
42300121213120220201200
53042102111322020000
641440455231232000
72360536510524525
oct260314730504140
946825306351230
1012122132220000
113953a70684410
121439425678600
1369c15c56639a
142dca0019b14c
151604d01a5000
hexb0667628860

12122132220000 has 960 divisors, whose sum is σ = 48580129382400. Its totient is φ = 2915377920000.

The previous prime is 12122132219881. The next prime is 12122132220007. The reversal of 12122132220000 is 2223122121.

12122132220000 is a `hidden beast` number, since 121 + 2 + 21 + 322 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122132220007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 754371966 + ... + 754388034.

It is an arithmetic number, because the mean of its divisors is an integer number (50604301440).

Almost surely, 212122132220000 is an apocalyptic number.

12122132220000 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 12122132220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290064691200).

12122132220000 is an abundant number, since it is smaller than the sum of its proper divisors (36457997162400).

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

12122132220000 is a wasteful number, since it uses less digits than its factorization.

12122132220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12122132220000 its reverse (2223122121), we get a palindrome (12124355342121).

The spelling of 12122132220000 in words is "twelve trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred twenty thousand".