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12022102000000 = 275641271541
BaseRepresentation
bin1010111011110001110100…
…0111101000000110000000
31120120022010221220000222001
42232330131013220012000
53033432231103000000
641322513304353344
72350365615633211
oct256743507500600
946508127800861
1012022102000000
1139155aa188604
121421b69775854
136928aa7057b1
142d7c31111408
1515cac849b46a
hexaef1d1e8180

12022102000000 has 448 divisors, whose sum is σ = 30837711522240. Its totient is φ = 4665600000000.

The previous prime is 12022101999989. The next prime is 12022102000037. The reversal of 12022102000000 is 20122021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22221999730 + ... + 22222000270.

It is an arithmetic number, because the mean of its divisors is an integer number (68834177505).

Almost surely, 212022102000000 is an apocalyptic number.

12022102000000 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 12022102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418855761120).

12022102000000 is an abundant number, since it is smaller than the sum of its proper divisors (18815609522240).

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

12022102000000 is an frugal number, since it uses more digits than its factorization.

12022102000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 860 counting only the distinct ones).

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

Adding to 12022102000000 its reverse (20122021), we get a palindrome (12022122122021).

The spelling of 12022102000000 in words is "twelve trillion, twenty-two billion, one hundred two million", and thus it is an aban number.