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120122321130 = 23257172659759
BaseRepresentation
bin110111111011111011…
…0010010100011101010
3102111001112100011112200
41233313312102203222
53432002303234010
6131103342121030
711451512611530
oct1576766224352
9374045304480
10120122321130
1146a41a11869
121b344880176
13b434644936
145b576a8150
1531d0ab8cc0
hex1bf7d928ea

120122321130 has 144 divisors (see below), whose sum is σ = 379166711040. Its totient is φ = 25841401344.

The previous prime is 120122321107. The next prime is 120122321131. The reversal of 120122321130 is 31123221021.

120122321130 is a `hidden beast` number, since 1 + 201 + 223 + 211 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120122321131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147810 + ... + 511949.

It is an arithmetic number, because the mean of its divisors is an integer number (2633102160).

Almost surely, 2120122321130 is an apocalyptic number.

120122321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120122321130 is an abundant number, since it is smaller than the sum of its proper divisors (259044389910).

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

120122321130 is a wasteful number, since it uses less digits than its factorization.

120122321130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659813 (or 659793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120122321130 its reverse (31123221021), we get a palindrome (151245542151).

The spelling of 120122321130 in words is "one hundred twenty billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 289 306 315 357 510 578 595 630 714 765 867 1071 1190 1445 1530 1734 1785 2023 2142 2601 2890 3570 4046 4335 5202 5355 6069 8670 10115 10710 12138 13005 18207 20230 26010 30345 36414 60690 91035 182070 659759 1319518 1979277 3298795 3958554 4618313 5937831 6597590 9236626 9896385 11215903 11875662 13854939 19792770 22431806 23091565 27709878 29689155 33647709 41564817 46183130 56079515 59378310 67295418 69274695 78511321 83129634 100943127 112159030 138549390 157022642 168238545 190670351 201886254 207824085 235533963 336477090 381340702 392556605 415648170 471067926 504715635 572011053 706601889 785113210 953351755 1009431270 1144022106 1177669815 1334692457 1413203778 1716033159 1906703510 2355339630 2669384914 2860055265 3432066318 3533009445 4004077371 5720110530 6673462285 7066018890 8008154742 8580165795 12012232113 13346924570 17160331590 20020386855 24024464226 40040773710 60061160565 120122321130