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12110002122000 = 2435317556921319
BaseRepresentation
bin1011000000111001010001…
…0111111110110100010000
31120212201000212110220000010
42300032110113332310100
53041402241020401000
641431131433154520
72356630066431366
oct260162427766420
946781025426003
1012110002122000
113949906544232
121436bbb25ba40
1369ac784805c3
142dc1ad195636
151600202d6d50
hexb03945fed10

12110002122000 has 320 divisors, whose sum is σ = 41348635660800. Its totient is φ = 3038684774400.

The previous prime is 12110002121957. The next prime is 12110002122019. The reversal of 12110002122000 is 22120001121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568027341 + ... + 568048659.

It is an arithmetic number, because the mean of its divisors is an integer number (129214486440).

Almost surely, 212110002122000 is an apocalyptic number.

12110002122000 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 12110002122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20674317830400).

12110002122000 is an abundant number, since it is smaller than the sum of its proper divisors (29238633538800).

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

12110002122000 is a wasteful number, since it uses less digits than its factorization.

12110002122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26931 (or 26915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12110002122000 its reverse (22120001121), we get a palindrome (12132122123121).

The spelling of 12110002122000 in words is "twelve trillion, one hundred ten billion, two million, one hundred twenty-two thousand".