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12110000023000 = 2353116723417019
BaseRepresentation
bin1011000000111001010000…
…1111111110010111011000
31120212201000201112020201101
42300032110033332113120
53041402240001214000
641431131320201144
72356630042540015
oct260162417762730
946781021466641
1012110000023000
113949905340220
121436bba6091b4
1369ac77bc70a9
142dc1acbaa70c
1516002001ee6a
hexb03943fe5d8

12110000023000 has 256 divisors, whose sum is σ = 31392797529600. Its totient is φ = 4335439680000.

The previous prime is 12110000022941. The next prime is 12110000023031. The reversal of 12110000023000 is 32000001121.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1725313491 + ... + 1725320509.

It is an arithmetic number, because the mean of its divisors is an integer number (122628115350).

Almost surely, 212110000023000 is an apocalyptic number.

12110000023000 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 12110000023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696398764800).

12110000023000 is an abundant number, since it is smaller than the sum of its proper divisors (19282797506600).

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

12110000023000 is a wasteful number, since it uses less digits than its factorization.

12110000023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12110000023000 its reverse (32000001121), we get a palindrome (12142000024121).

The spelling of 12110000023000 in words is "twelve trillion, one hundred ten billion, twenty-three thousand".