Search a number
-
+
120111220020 = 223511853213349
BaseRepresentation
bin110111111011100101…
…1111100010100110100
3102111000202110011200110
41233313023330110310
53431441433020040
6131102304143020
711451316345011
oct1576713742464
9374022404613
10120111220020
1146a3671a3a0
121b341007a70
13b432258b2c
145b56018708
1531ceb24980
hex1bf72fc534

120111220020 has 96 divisors (see below), whose sum is σ = 367317014400. Its totient is φ = 29083599360.

The previous prime is 120111219961. The next prime is 120111220109. The reversal of 120111220020 is 20022111021.

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 = 120111219978 and 120111220005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 456306 + ... + 669654.

It is an arithmetic number, because the mean of its divisors is an integer number (3826218900).

Almost surely, 2120111220020 is an apocalyptic number.

120111220020 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 120111220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183658507200).

120111220020 is an abundant number, since it is smaller than the sum of its proper divisors (247205794380).

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

120111220020 is a wasteful number, since it uses less digits than its factorization.

120111220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214225 (or 214223 counting only the distinct ones).

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

Adding to 120111220020 its reverse (20022111021), we get a palindrome (140133331041).

The spelling of 120111220020 in words is "one hundred twenty billion, one hundred eleven million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 853 1706 2559 3412 4265 5118 8530 9383 10236 12795 17060 18766 25590 28149 37532 46915 51180 56298 93830 112596 140745 187660 213349 281490 426698 562980 640047 853396 1066745 1280094 2133490 2346839 2560188 3200235 4266980 4693678 6400470 7040517 9387356 11734195 12800940 14081034 23468390 28162068 35202585 46936780 70405170 140810340 181986697 363973394 545960091 727946788 909933485 1091920182 1819866970 2001853667 2183840364 2729800455 3639733940 4003707334 5459600910 6005561001 8007414668 10009268335 10919201820 12011122002 20018536670 24022244004 30027805005 40037073340 60055610010 120111220020