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12322242040 = 235599975237
BaseRepresentation
bin10110111100111011…
…00111110111111000
31011210202110202022211
423132131213313320
5200213443221130
65354420224504
7614233220623
oct133635476770
934722422284
1012322242040
115253647909
12247a83b134
131214b4c3a4
1484c740dba
154c1bc4a2a
hex2de767df8

12322242040 has 64 divisors (see below), whose sum is σ = 28228629600. Its totient is φ = 4839571968.

The previous prime is 12322242011. The next prime is 12322242077. The reversal of 12322242040 is 4024222321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350302 + ... + 2355538.

Almost surely, 212322242040 is an apocalyptic number.

12322242040 is a gapful number since it is divisible by the number (10) 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 12322242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114314800).

12322242040 is an abundant number, since it is smaller than the sum of its proper divisors (15906387560).

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

12322242040 is a wasteful number, since it uses less digits than its factorization.

12322242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12322242040 its reverse (4024222321), we get a palindrome (16346464361).

The spelling of 12322242040 in words is "twelve billion, three hundred twenty-two million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 997 1180 1994 2360 3988 4985 5237 7976 9970 10474 19940 20948 26185 39880 41896 52370 58823 104740 117646 209480 235292 294115 308983 470584 588230 617966 1176460 1235932 1544915 2352920 2471864 3089830 5221289 6179660 10442578 12359320 20885156 26106445 41770312 52212890 104425780 208851560 308056051 616112102 1232224204 1540280255 2464448408 3080560510 6161121020 12322242040