Search a number
-
+
12120622208 = 273722632
BaseRepresentation
bin10110100100111001…
…00000010010000000
31011021201002101220122
423102130200102000
5144310334402313
65322414555412
7606234405662
oct132234402200
934251071818
1012120622208
11515a858952
122423208b68
1311b2148a06
1482da5a532
154ae14a708
hex2d2720480

12120622208 has 72 divisors (see below), whose sum is σ = 24911518905. Its totient is φ = 5874098688.

The previous prime is 12120622193. The next prime is 12120622211. The reversal of 12120622208 is 80222602121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9778836544 + 2341785664 = 98888^2 + 48392^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77848.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46085885 + ... + 46086147.

Almost surely, 212120622208 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 12120622208

12120622208 is an abundant number, since it is smaller than the sum of its proper divisors (12790896697).

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

12120622208 is an frugal number, since it uses more digits than its factorization.

12120622208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The spelling of 12120622208 in words is "twelve billion, one hundred twenty million, six hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 263 296 526 592 1052 1184 1369 2104 2368 2738 4208 4736 5476 8416 9731 10952 16832 19462 21904 33664 38924 43808 69169 77848 87616 138338 155696 175232 276676 311392 360047 553352 622784 720094 1106704 1245568 1440188 2213408 2559253 2880376 4426816 5118506 5760752 8853632 10237012 11521504 20474024 23043008 40948048 46086016 81896096 94692361 163792192 189384722 327584384 378769444 757538888 1515077776 3030155552 6060311104 12120622208