Search a number
-
+
12133220208 = 243738341719
BaseRepresentation
bin10110100110011001…
…00011111101110000
31011022120210110010020
423103030203331300
5144322101021313
65323545003440
7606446445564
oct132314437560
934276713106
1012133220208
115166982a1a
122427483580
1311b4939c55
148315b96a4
154b02d8323
hex2d3323f70

12133220208 has 80 divisors (see below), whose sum is σ = 32157108480. Its totient is φ = 3940849152.

The previous prime is 12133220191. The next prime is 12133220221. The reversal of 12133220208 is 80202233121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269973 + ... + 311691.

It is an arithmetic number, because the mean of its divisors is an integer number (401963856).

Almost surely, 212133220208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078554240).

12133220208 is an abundant number, since it is smaller than the sum of its proper divisors (20023888272).

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

12133220208 is a wasteful number, since it uses less digits than its factorization.

12133220208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41886 (or 41880 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12133220208 its reverse (80202233121), we get a palindrome (92335453329).

The spelling of 12133220208 in words is "twelve billion, one hundred thirty-three million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 83 146 166 219 249 292 332 438 498 584 664 876 996 1168 1328 1752 1992 3504 3984 6059 12118 18177 24236 36354 41719 48472 72708 83438 96944 125157 145416 166876 250314 290832 333752 500628 667504 1001256 2002512 3045487 3462677 6090974 6925354 9136461 10388031 12181948 13850708 18272922 20776062 24363896 27701416 36545844 41552124 48727792 55402832 73091688 83104248 146183376 166208496 252775421 505550842 758326263 1011101684 1516652526 2022203368 3033305052 4044406736 6066610104 12133220208