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120121110330 = 235136119925373
BaseRepresentation
bin110111111011111000…
…1101010111100111010
3102111001110001122122020
41233313301222330322
53432002001012310
6131103300135310
711451466406514
oct1576761527472
9374043048566
10120121110330
1146a41265101
121b344397536
13b43430c7a0
145b57470bb4
1531d092a170
hex1bf7c6af3a

120121110330 has 128 divisors (see below), whose sum is σ = 317154700800. Its totient is φ = 28936258560.

The previous prime is 120121110323. The next prime is 120121110353. The reversal of 120121110330 is 33011121021.

It is a happy number.

It is a super-2 number, since 2×1201211103302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4721524 + ... + 4746896.

It is an arithmetic number, because the mean of its divisors is an integer number (2477771100).

Almost surely, 2120121110330 is an apocalyptic number.

120121110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121110330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158577350400).

120121110330 is an abundant number, since it is smaller than the sum of its proper divisors (197033590470).

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

120121110330 is a wasteful number, since it uses less digits than its factorization.

120121110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25656.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120121110330 its reverse (33011121021), we get a palindrome (153132231351).

The spelling of 120121110330 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 199 305 366 390 398 597 610 793 915 995 1194 1586 1830 1990 2379 2587 2985 3965 4758 5174 5970 7761 7930 11895 12139 12935 15522 23790 24278 25373 25870 36417 38805 50746 60695 72834 76119 77610 121390 126865 152238 157807 182085 253730 315614 329849 364170 380595 473421 659698 761190 789035 946842 989547 1547753 1578070 1649245 1979094 2367105 3095506 3298490 4643259 4734210 4947735 5049227 7738765 9286518 9895470 10098454 15147681 15477530 20120789 23216295 25246135 30295362 40241578 46432590 50492270 60362367 65639951 75738405 100603945 120724734 131279902 151476810 196919853 201207890 301811835 308002847 328199755 393839706 603623670 616005694 656399510 924008541 984599265 1540014235 1848017082 1969198530 3080028470 4004037011 4620042705 8008074022 9240085410 12012111033 20020185055 24024222066 40040370110 60060555165 120121110330