Search a number
-
+
120111202020 = 223516341929311
BaseRepresentation
bin110111111011100101…
…1110111111011100100
3102111000202102020222210
41233313023313323210
53431441431431040
6131102303523420
711451316241355
oct1576713677344
9374022366883
10120111202020
1146a36707917
121b340bb9570
13b432250894
145b56011d2c
1531ceb1e480
hex1bf72f7ee4

120111202020 has 96 divisors (see below), whose sum is σ = 339193774080. Its totient is φ = 31756095360.

The previous prime is 120111201967. The next prime is 120111202021. The reversal of 120111202020 is 20202111021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120111201987 and 120111202005.

It is not an unprimeable number, because it can be changed into a prime (120111202021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4083165 + ... + 4112475.

It is an arithmetic number, because the mean of its divisors is an integer number (3533268480).

Almost surely, 2120111202020 is an apocalyptic number.

120111202020 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 120111202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169596887040).

120111202020 is an abundant number, since it is smaller than the sum of its proper divisors (219082572060).

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

120111202020 is a wasteful number, since it uses less digits than its factorization.

120111202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29905 (or 29903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120111202020 its reverse (20202111021), we get a palindrome (140313313041).

Subtracting from 120111202020 its reverse (20202111021), we obtain a palindrome (99909090999).

The spelling of 120111202020 in words is "one hundred twenty billion, one hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 419 489 652 815 838 978 1257 1630 1676 1956 2095 2445 2514 3260 4190 4890 5028 6285 8380 9780 12570 25140 29311 58622 68297 87933 117244 136594 146555 175866 204891 273188 293110 341485 351732 409782 439665 586220 682970 819564 879330 1024455 1365940 1758660 2048910 4097820 4777693 9555386 12281309 14333079 19110772 23888465 24562618 28666158 36843927 47776930 49125236 57332316 61406545 71665395 73687854 95553860 122813090 143330790 147375708 184219635 245626180 286661580 368439270 736878540 2001853367 4003706734 6005560101 8007413468 10009266835 12011120202 20018533670 24022240404 30027800505 40037067340 60055601010 120111202020