Search a number
-
+
212010200112000 = 2735312641349409
BaseRepresentation
bin110000001101001001111000…
…101010101001101110000000
31000210122222101101000112112210
4300031021320222221232000
5210242033342212041000
62030524050311222120
762441142254004063
oct6015117052515600
91023588341015483
10212010200112000
116160a025961284
121b940bb7077940
13913b625c621a4
143a4d4c41768da
151979d126ea350
hexc0d278aa9b80

212010200112000 has 256 divisors, whose sum is σ = 702871422926400. Its totient is φ = 56531419136000.

The previous prime is 212010200111989. The next prime is 212010200112013. The reversal of 212010200112000 is 211002010212.

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 31 ways as a sum of consecutive naturals, for example, 606593296 + ... + 606942704.

Almost surely, 2212010200112000 is an apocalyptic number.

212010200112000 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 212010200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351435711463200).

212010200112000 is an abundant number, since it is smaller than the sum of its proper divisors (490861222814400).

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

212010200112000 is a wasteful number, since it uses less digits than its factorization.

212010200112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362082 (or 362060 counting only the distinct ones).

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

Adding to 212010200112000 its reverse (211002010212), we get a palindrome (212221202122212).

The spelling of 212010200112000 in words is "two hundred twelve trillion, ten billion, two hundred million, one hundred twelve thousand".