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12322340420 = 22513107641691
BaseRepresentation
bin10110111100111011…
…11111111001000100
31011210202122202021112
423132131333321010
5200214004343140
65354422304152
7614234110505
oct133635777104
934722582245
1012322340420
115253704815
12247a888058
131214b850c0
1484c768bac
154c1be3c65
hex2de77fe44

12322340420 has 96 divisors (see below), whose sum is σ = 28212541056. Its totient is φ = 4493721600.

The previous prime is 12322340383. The next prime is 12322340423. The reversal of 12322340420 is 2404322321.

It is not an unprimeable number, because it can be changed into a prime (12322340423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17832275 + ... + 17832965.

It is an arithmetic number, because the mean of its divisors is an integer number (293880636).

Almost surely, 212322340420 is an apocalyptic number.

12322340420 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 12322340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106270528).

12322340420 is an abundant number, since it is smaller than the sum of its proper divisors (15890200636).

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

12322340420 is a wasteful number, since it uses less digits than its factorization.

12322340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 12322340420 its reverse (2404322321), we get a palindrome (14726662741).

The spelling of 12322340420 in words is "twelve billion, three hundred twenty-two million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 641 691 1070 1282 1382 1391 2140 2564 2764 2782 3205 3455 5564 6410 6910 6955 8333 8983 12820 13820 13910 16666 17966 27820 33332 35932 41665 44915 68587 73937 83330 89830 137174 147874 166660 179660 274348 295748 342935 369685 442931 685870 739370 885862 891631 961181 1371740 1478740 1771724 1783262 1922362 2214655 3566524 3844724 4429310 4458155 4805905 5758103 8858620 8916310 9611810 11516206 17832620 19223620 23032412 28790515 47393617 57581030 94787234 115162060 189574468 236968085 473936170 616117021 947872340 1232234042 2464468084 3080585105 6161170210 12322340420