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120321331120 = 24517307288181
BaseRepresentation
bin111000000001110110…
…1011100111110110000
3102111120101210220221001
41300003231130332300
53432404230043440
6131135211411344
711456450303554
oct1600355347660
9374511726831
10120321331120
1147034288a31
121b39b453b54
13b466943423
145b75cad864
1531e32c9b9a
hex1c03b5cfb0

120321331120 has 80 divisors (see below), whose sum is σ = 297168667488. Its totient is φ = 45149736960.

The previous prime is 120321331073. The next prime is 120321331127. The reversal of 120321331120 is 21133123021.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (120321331127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273430 + ... + 561610.

Almost surely, 2120321331120 is an apocalyptic number.

120321331120 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 120321331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148584333744).

120321331120 is an abundant number, since it is smaller than the sum of its proper divisors (176847336368).

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

120321331120 is a wasteful number, since it uses less digits than its factorization.

120321331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288518 (or 288512 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120321331120 its reverse (21133123021), we get a palindrome (141454454141).

The spelling of 120321331120 in words is "one hundred twenty billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 307 340 614 680 1228 1360 1535 2456 3070 4912 5219 6140 10438 12280 20876 24560 26095 41752 52190 83504 104380 208760 288181 417520 576362 1152724 1440905 2305448 2881810 4610896 4899077 5763620 9798154 11527240 19596308 23054480 24495385 39192616 48990770 78385232 88471567 97981540 176943134 195963080 353886268 391926160 442357835 707772536 884715670 1415545072 1504016639 1769431340 3008033278 3538862680 6016066556 7077725360 7520083195 12032133112 15040166390 24064266224 30080332780 60160665560 120321331120