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120334669120 = 2653156921319
BaseRepresentation
bin111000000010010000…
…0010101010101000000
3102111121022220120020001
41300010200111111000
53432421133402440
6131140405325344
711460001545061
oct1600440252500
9374538816201
10120334669120
1147040868a76
121b3a3a06854
13b469633433
145b77982568
1531e4561b9a
hex1c04815540

120334669120 has 112 divisors (see below), whose sum is σ = 296324121600. Its totient is φ = 46497116160.

The previous prime is 120334669109. The next prime is 120334669129. The reversal of 120334669120 is 21966433021.

120334669120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120334669120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120334669129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5633821 + ... + 5655139.

Almost surely, 2120334669120 is an apocalyptic number.

120334669120 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 120334669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148162060800).

120334669120 is an abundant number, since it is smaller than the sum of its proper divisors (175989452480).

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

120334669120 is a wasteful number, since it uses less digits than its factorization.

120334669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21936 (or 21926 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 120334669120 in words is "one hundred twenty billion, three hundred thirty-four million, six hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 569 620 992 1138 1240 1984 2276 2480 2845 4552 4960 5690 9104 9920 11380 17639 18208 21319 22760 35278 36416 42638 45520 70556 85276 88195 91040 106595 141112 170552 176390 182080 213190 282224 341104 352780 426380 564448 660889 682208 705560 852760 1128896 1321778 1364416 1411120 1705520 2643556 2822240 3304445 3411040 5287112 5644480 6608890 6822080 10574224 12130511 13217780 21148448 24261022 26435560 42296896 48522044 52871120 60652555 97044088 105742240 121305110 194088176 211484480 242610220 376045841 388176352 485220440 752091682 776352704 970440880 1504183364 1880229205 1940881760 3008366728 3760458410 3881763520 6016733456 7520916820 12033466912 15041833640 24066933824 30083667280 60167334560 120334669120