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212000111000000 = 26561012837417
BaseRepresentation
bin110000001101000000011111…
…010011101111100111000000
31000210122000100020120112201222
4300031000133103233213000
5210241402211404000000
62030515301222414212
762440334244655301
oct6015003723574700
91023560306515658
10212000111000000
1161605818912094
121b93b060291368
13913a6a897402b
143a4cc082587a8
151979921ad8a85
hexc0d01f4ef9c0

212000111000000 has 392 divisors, whose sum is σ = 533007772100688. Its totient is φ = 83652480000000.

The previous prime is 212000110999991. The next prime is 212000111000003. The reversal of 212000111000000 is 111000212.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000111000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28582996292 + ... + 28583003708.

Almost surely, 2212000111000000 is an apocalyptic number.

212000111000000 is a gapful number since it is divisible by the number (20) 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 212000111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266503886050344).

212000111000000 is an abundant number, since it is smaller than the sum of its proper divisors (321007661100688).

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

212000111000000 is an frugal number, since it uses more digits than its factorization.

212000111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7843 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 212000111000000 its reverse (111000212), we get a palindrome (212000222000212).

The spelling of 212000111000000 in words is "two hundred twelve trillion, one hundred eleven million", and thus it is an aban number.