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12031212000000 = 283565318917
BaseRepresentation
bin1010111100010011110000…
…0111100001001100000000
31120121011122211221222121110
42233010330013201030000
53034104410233000000
641331021255323320
72351140435436034
oct257047407411400
946534584858543
1012031212000000
113919454580426
121423890680540
136936ccbbb13b
142d8456d9c1c4
1515ce5d155850
hexaf13c1e1300

12031212000000 has 504 divisors, whose sum is σ = 40782547664208. Its totient is φ = 3147622400000.

The previous prime is 12031211999921. The next prime is 12031212000007. The reversal of 12031212000000 is 21213021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12031212000000.

It is not an unprimeable number, because it can be changed into a prime (12031212000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 635990542 + ... + 636009458.

It is an arithmetic number, because the mean of its divisors is an integer number (80917753302).

Almost surely, 212031212000000 is an apocalyptic number.

12031212000000 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 12031212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20391273832104).

12031212000000 is an abundant number, since it is smaller than the sum of its proper divisors (28751335664208).

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

12031212000000 is an frugal number, since it uses more digits than its factorization.

12031212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19019 (or 18980 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12031212000000 its reverse (21213021), we get a palindrome (12031233213021).

The spelling of 12031212000000 in words is "twelve trillion, thirty-one billion, two hundred twelve million", and thus it is an aban number.