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120233122020 = 2232511580710457
BaseRepresentation
bin110111111111001110…
…0111101100011100100
3102111100020211102210100
41233332130331203210
53432214134401040
6131122341024100
711454326450304
oct1577634754344
9374306742710
10120233122020
1146a99510150
121b3759b5030
13b45159a6ab
145b682ab604
1531da6a3b30
hex1bfe73d8e4

120233122020 has 144 divisors (see below), whose sum is σ = 397968899328. Its totient is φ = 29139617280.

The previous prime is 120233121961. The next prime is 120233122049. The reversal of 120233122020 is 20221332021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120233121984 and 120233122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11492632 + ... + 11503088.

It is an arithmetic number, because the mean of its divisors is an integer number (2763672912).

Almost surely, 2120233122020 is an apocalyptic number.

120233122020 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 120233122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198984449664).

120233122020 is an abundant number, since it is smaller than the sum of its proper divisors (277735777308).

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

120233122020 is a wasteful number, since it uses less digits than its factorization.

120233122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16290 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120233122020 its reverse (20221332021), we get a palindrome (140454454041).

The spelling of 120233122020 in words is "one hundred twenty billion, two hundred thirty-three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5807 10457 11614 17421 20914 23228 29035 31371 34842 41828 52263 52285 58070 62742 63877 69684 87105 94113 104526 104570 115027 116140 125484 127754 156855 174210 188226 191631 209052 209140 230054 255508 261315 313710 319385 345081 348420 376452 383262 460108 470565 522630 574893 575135 627420 638770 690162 766524 941130 958155 1035243 1045260 1149786 1150270 1277540 1380324 1725405 1882260 1916310 2070486 2299572 2300540 2874465 3450810 3832620 4140972 5176215 5748930 6901620 10352430 11497860 20704860 60723799 121447598 182171397 242895196 303618995 364342794 546514191 607237990 667961789 728685588 910856985 1093028382 1214475980 1335923578 1821713970 2003885367 2186056764 2671847156 2732570955 3339808945 3643427940 4007770734 5465141910 6011656101 6679617890 8015541468 10019426835 10930283820 12023312202 13359235780 20038853670 24046624404 30058280505 40077707340 60116561010 120233122020