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12012110121000 = 23353111727497789
BaseRepresentation
bin1010111011001100100110…
…0011101000100000101000
31120112100100121101222202110
42232303021203220200220
53033301300142333000
641314142012002320
72346563200233513
oct256631143504050
946470317358673
1012012110121000
11391134200aa70
12142003b4603a0
136919775cc862
142d75640a3d7a
1515c6e1194850
hexaecc98e8828

12012110121000 has 512 divisors, whose sum is σ = 43311153600000. Its totient is φ = 2739382272000.

The previous prime is 12012110120993. The next prime is 12012110121019. The reversal of 12012110121000 is 12101121021.

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

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, 1542185106 + ... + 1542192894.

It is an arithmetic number, because the mean of its divisors is an integer number (84592096875).

Almost surely, 212012110121000 is an apocalyptic number.

12012110121000 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 12012110121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21655576800000).

12012110121000 is an abundant number, since it is smaller than the sum of its proper divisors (31299043479000).

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

12012110121000 is a wasteful number, since it uses less digits than its factorization.

12012110121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12012110121000 its reverse (12101121021), we get a palindrome (12024211242021).

The spelling of 12012110121000 in words is "twelve trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand".