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120024034020 = 2232511274922051
BaseRepresentation
bin110111111000111111…
…1010110101011100100
3102110210200101122222100
41233301333112223210
53431302123042040
6131045511332100
711446210312302
oct1576177265344
9373720348870
10120024034020
11469a1490250
121b317981030
13b41a180997
145b48601272
1531c7151b30
hex1bf1fd6ae4

120024034020 has 144 divisors (see below), whose sum is σ = 397332936000. Its totient is φ = 29084832000.

The previous prime is 120024034019. The next prime is 120024034027. The reversal of 120024034020 is 20430420021.

120024034020 is a `hidden beast` number, since 1 + 20 + 0 + 240 + 3 + 402 + 0 = 666.

120024034020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120024033984 and 120024034002.

It is not an unprimeable number, because it can be changed into a prime (120024034027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5431995 + ... + 5454045.

It is an arithmetic number, because the mean of its divisors is an integer number (2759256500).

Almost surely, 2120024034020 is an apocalyptic number.

120024034020 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 120024034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198666468000).

120024034020 is an abundant number, since it is smaller than the sum of its proper divisors (277308901980).

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

120024034020 is a wasteful number, since it uses less digits than its factorization.

120024034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24826 (or 24821 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 120024034020 its reverse (20430420021), we get a palindrome (140454454041).

The spelling of 120024034020 in words is "one hundred twenty billion, twenty-four million, thirty-four 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 2749 5498 8247 10996 13745 16494 22051 24741 27490 30239 32988 41235 44102 49482 54980 60478 66153 82470 88204 90717 98964 110255 120956 123705 132306 151195 164940 181434 198459 220510 242561 247410 264612 272151 302390 330765 362868 396918 441020 453585 485122 494820 544302 604780 661530 727683 793836 907170 970244 992295 1088604 1212805 1323060 1360755 1455366 1814340 1984590 2183049 2425610 2721510 2910732 3638415 3969180 4366098 4851220 5443020 7276830 8732196 10915245 14553660 21830490 43660980 60618199 121236398 181854597 242472796 303090995 363709194 545563791 606181990 666800189 727418388 909272985 1091127582 1212363980 1333600378 1818545970 2000400567 2182255164 2667200756 2727818955 3334000945 3637091940 4000801134 5455637910 6001201701 6668001890 8001602268 10002002835 10911275820 12002403402 13336003780 20004005670 24004806804 30006008505 40008011340 60012017010 120024034020