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212010220102120 = 235117310121374723
BaseRepresentation
bin110000001101001001111001…
…110110111010000111101000
31000210122222102202122010211121
4300031021321312322013220
5210242033412321231440
62030524052303505024
762441142615632236
oct6015117166720750
91023588382563747
10212010220102120
116160a036175140
121b9410018b8174
13913b62a140c6b
143a4d4c6a9b956
151979d1434834a
hexc0d279dba1e8

212010220102120 has 384 divisors, whose sum is σ = 536794614933120. Its totient is φ = 74720323584000.

The previous prime is 212010220102081. The next prime is 212010220102199. The reversal of 212010220102120 is 21201022010212.

Adding to 212010220102120 its reverse (21201022010212), we get a palindrome (233211242112332).

It can be divided in two parts, 2120102 and 20102120, that added together give a palindrome (22222222).

It is a happy number.

212010220102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212010220102094 and 212010220102103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44888886079 + ... + 44888890801.

It is an arithmetic number, because the mean of its divisors is an integer number (1397902643055).

Almost surely, 2212010220102120 is an apocalyptic number.

212010220102120 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 212010220102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268397307466560).

212010220102120 is an abundant number, since it is smaller than the sum of its proper divisors (324784394831000).

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

212010220102120 is a wasteful number, since it uses less digits than its factorization.

212010220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 212010220102120 in words is "two hundred twelve trillion, ten billion, two hundred twenty million, one hundred two thousand, one hundred twenty".