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1200010212 = 22321710917989
BaseRepresentation
bin100011110000110…
…1011001111100100
310002122000211112200
41013201223033210
54424200311322
6315024214500
741510630022
oct10741531744
93078024480
101200010212
11566413485
12295a6a430
131617c901b
14b5533712
157053d8ac
hex4786b3e4

1200010212 has 72 divisors (see below), whose sum is σ = 3241438200. Its totient is φ = 372999168.

The previous prime is 1200010187. The next prime is 1200010261. The reversal of 1200010212 is 2120100021.

1200010212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 600446016 + 599564196 = 24504^2 + 24486^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200010194 and 1200010203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57714 + ... + 75702.

It is an arithmetic number, because the mean of its divisors is an integer number (45019975).

Almost surely, 21200010212 is an apocalyptic number.

1200010212 is a gapful number since it is divisible by the number (12) 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 1200010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620719100).

1200010212 is an abundant number, since it is smaller than the sum of its proper divisors (2041427988).

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

1200010212 is a wasteful number, since it uses less digits than its factorization.

1200010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18125 (or 18120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200010212 is about 34641.1635485877. The cubic root of 1200010212 is about 1062.6615835822.

Adding to 1200010212 its reverse (2120100021), we get a palindrome (3320110233).

The spelling of 1200010212 in words is "one billion, two hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 981 1308 1853 1962 3706 3924 5559 7412 11118 16677 17989 22236 33354 35978 53967 66708 71956 107934 161901 215868 305813 323802 611626 647604 917439 1223252 1834878 1960801 2752317 3669756 3921602 5504634 5882403 7843204 11009268 11764806 17647209 23529612 33333617 35294418 66667234 70588836 100000851 133334468 200001702 300002553 400003404 600005106 1200010212