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12000120000220 = 225116712736717467
BaseRepresentation
bin1010111010011111111011…
…1000111100111011011100
31120111012101222212202011001
42232213332320330323130
53033102221210001340
641304440134040044
72345660106004252
oct256477670747334
946435358782131
1012000120000220
113907249996840
121419853aa9024
136907b6516931
142d6b478d85d2
1515c23d72629a
hexae9fee3cedc

12000120000220 has 192 divisors, whose sum is σ = 28199435894784. Its totient is φ = 4252839655680.

The previous prime is 12000120000139. The next prime is 12000120000227. The reversal of 12000120000220 is 2200002100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12000120000197 and 12000120000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000120000227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687007927 + ... + 687025393.

It is an arithmetic number, because the mean of its divisors is an integer number (146872061952).

Almost surely, 212000120000220 is an apocalyptic number.

12000120000220 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 12000120000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099717947392).

12000120000220 is an abundant number, since it is smaller than the sum of its proper divisors (16199315894564).

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

12000120000220 is a wasteful number, since it uses less digits than its factorization.

12000120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18046 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000120000220 its reverse (2200002100021), we get a palindrome (14200122100241).

The spelling of 12000120000220 in words is "twelve trillion, one hundred twenty million, two hundred twenty", and thus it is an aban number.