Search a number
-
+
212000001202200 = 2335231101311251579
BaseRepresentation
bin110000001101000000011000…
…110000111001100000011000
31000210122000001120222020110210
4300031000120300321200120
5210241402000301432300
62030515242301211120
762440331442465141
oct6015003060714030
91023560046866423
10212000001202200
1161605771939402
121b93b02b560aa0
13913a68bcaca13
143a4cbd7836ac8
15197991714b050
hexc0d018c39818

212000001202200 has 192 divisors, whose sum is σ = 679069758182400. Its totient is φ = 54655665292800.

The previous prime is 212000001202183. The next prime is 212000001202211. The reversal of 212000001202200 is 2202100000212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13216011 + ... + 24467589.

It is an arithmetic number, because the mean of its divisors is an integer number (3536821657200).

Almost surely, 2212000001202200 is an apocalyptic number.

212000001202200 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 212000001202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339534879091200).

212000001202200 is an abundant number, since it is smaller than the sum of its proper divisors (467069756980200).

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

212000001202200 is a wasteful number, since it uses less digits than its factorization.

212000001202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11252642 (or 11252633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212000001202200 its reverse (2202100000212), we get a palindrome (214202101202412).

The spelling of 212000001202200 in words is "two hundred twelve trillion, one million, two hundred two thousand, two hundred".