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12012221221000 = 235371113103116507
BaseRepresentation
bin1010111011001101000000…
…1011011100100010001000
31120112100122100110110022021
42232303100023130202020
53033302012113033000
641314201021134224
72346566016456310
oct256632013344210
946470570413267
1012012221221000
1139113997a3050
1214200706ba374
1369199462b7c0
142d7574b44440
1515c6eacdd11a
hexaecd02dc888

12012221221000 has 512 divisors, whose sum is σ = 38106951966720. Its totient is φ = 3422480256000.

The previous prime is 12012221220977. The next prime is 12012221221037. The reversal of 12012221221000 is 12212221021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103044747 + ... + 103161253.

It is an arithmetic number, because the mean of its divisors is an integer number (74427640560).

Almost surely, 212012221221000 is an apocalyptic number.

12012221221000 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 12012221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053475983360).

12012221221000 is an abundant number, since it is smaller than the sum of its proper divisors (26094730745720).

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

12012221221000 is a wasteful number, since it uses less digits than its factorization.

12012221221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116662 (or 116648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12012221221000 its reverse (12212221021), we get a palindrome (12024433442021).

It can be divided in two parts, 12012221 and 221000, that added together give a palindrome (12233221).

The spelling of 12012221221000 in words is "twelve trillion, twelve billion, two hundred twenty-one million, two hundred twenty-one thousand".