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1206120006 = 2327213372843
BaseRepresentation
bin100011111100011…
…1110111001000110
310010001112020121100
41013320332321012
54432231320011
6315403200530
741613564600
oct10770767106
93101466540
101206120006
115699068a3
12297b16146
13162b57ca0
14b6284170
1570d48d56
hex47e3ee46

1206120006 has 144 divisors (see below), whose sum is σ = 3363416784. Its totient is φ = 309391488.

The previous prime is 1206119987. The next prime is 1206120017. The reversal of 1206120006 is 6000216021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 422821 + ... + 425663.

It is an arithmetic number, because the mean of its divisors is an integer number (23357061).

Almost surely, 21206120006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206120006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681708392).

1206120006 is an abundant number, since it is smaller than the sum of its proper divisors (2157296778).

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

1206120006 is a wasteful number, since it uses less digits than its factorization.

1206120006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1206120006 is about 34729.2384886280. The cubic root of 1206120006 is about 1064.4620281040.

Adding to 1206120006 its reverse (6000216021), we get a palindrome (7206336027).

The spelling of 1206120006 in words is "one billion, two hundred six million, one hundred twenty thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 962 1274 1443 1554 1638 1813 1911 2331 2843 2886 3367 3626 3822 4329 4662 5439 5686 5733 6734 8529 8658 10101 10878 11466 16317 17058 19901 20202 23569 25587 30303 32634 36959 39802 47138 51174 59703 60606 70707 73918 105191 110877 119406 139307 141414 179109 210382 212121 221754 258713 278614 315573 332631 358218 417921 424242 517426 631146 665262 736337 776139 835842 946719 1253763 1367483 1472674 1552278 1810991 1893438 2209011 2328417 2507526 2734966 3621982 4102449 4418022 4656834 5154359 5432973 6627033 8204898 9572381 10308718 10865946 12307347 13254066 15463077 16298919 19144762 24614694 28717143 30926154 32597838 46389231 57434286 67006667 86151429 92778462 134013334 172302858 201020001 402040002 603060003 1206120006