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12342233120 = 255713184121
BaseRepresentation
bin10110111111010011…
…11000100000100000
31011212011002101221012
423133221320200200
5200234102424440
65400412520052
7614565151640
oct133751704040
934764071835
1012342233120
115263961468
122485480028
13121902b729
14851266520
154c3822e65
hex2dfa78820

12342233120 has 96 divisors (see below), whose sum is σ = 33578810496. Its totient is φ = 4199270400.

The previous prime is 12342233083. The next prime is 12342233129. The reversal of 12342233120 is 2133224321.

It is not an unprimeable number, because it can be changed into a prime (12342233129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104660 + ... + 188780.

It is an arithmetic number, because the mean of its divisors is an integer number (349779276).

Almost surely, 212342233120 is an apocalyptic number.

12342233120 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 12342233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16789405248).

12342233120 is an abundant number, since it is smaller than the sum of its proper divisors (21236577376).

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

12342233120 is a wasteful number, since it uses less digits than its factorization.

12342233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84274 (or 84266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12342233120 its reverse (2133224321), we get a palindrome (14475457441).

The spelling of 12342233120 in words is "twelve billion, three hundred forty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 131 140 160 224 262 280 524 560 655 917 1048 1120 1310 1834 2096 2620 3668 4192 4585 5240 7336 9170 10480 14672 18340 20960 29344 36680 73360 84121 146720 168242 336484 420605 588847 672968 841210 1177694 1345936 1682420 2355388 2691872 2944235 3364840 4710776 5888470 6729680 9421552 11019851 11776940 13459360 18843104 22039702 23553880 44079404 47107760 55099255 77138957 88158808 94215520 110198510 154277914 176317616 220397020 308555828 352635232 385694785 440794040 617111656 771389570 881588080 1234223312 1542779140 1763176160 2468446624 3085558280 6171116560 12342233120