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122231243340 = 223252923415947
BaseRepresentation
bin111000111010110001…
…1001100001001001100
3102200111111122111221200
41301311203030021030
54000312144241330
6132052515425500
711555001266013
oct1616543141114
9380444574850
10122231243340
1147924394288
121b832bb5290
13b6ac5378bb
145cb77d7a7a
1532a5ce4a60
hex1c758cc24c

122231243340 has 72 divisors (see below), whose sum is σ = 383553228240. Its totient is φ = 31471031424.

The previous prime is 122231243333. The next prime is 122231243341. The reversal of 122231243340 is 43342132221.

122231243340 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 312 + 4 + 3 + 340 = 666.

It is not an unprimeable number, because it can be changed into a prime (122231243341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11702754 + ... + 11713193.

It is an arithmetic number, because the mean of its divisors is an integer number (5327128170).

Almost surely, 2122231243340 is an apocalyptic number.

122231243340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231243340 is an abundant number, since it is smaller than the sum of its proper divisors (261321984900).

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

122231243340 is a wasteful number, since it uses less digits than its factorization.

122231243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23415991 (or 23415986 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122231243340 its reverse (43342132221), we get a palindrome (165573375561).

The spelling of 122231243340 in words is "one hundred twenty-two billion, two hundred thirty-one million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 23415947 46831894 70247841 93663788 117079735 140495682 210743523 234159470 280991364 351239205 421487046 468318940 679062463 702478410 842974092 1053717615 1358124926 1404956820 2037187389 2107435230 2716249852 3395312315 4074374778 4214870460 6111562167 6790624630 8148749556 10185936945 12223124334 13581249260 20371873890 24446248668 30557810835 40743747780 61115621670 122231243340