Search a number
-
+
120373121660 = 225111795215867
BaseRepresentation
bin111000000011011001…
…1000001001001111100
3102111201000021011012012
41300012303001021330
53433011004343120
6131144301430352
711460646436441
oct1600663011174
9374630234165
10120373121660
1147060541a30
121b3b486b3b8
13b4745a780c
145b7cb119c8
1531e7b0a1c5
hex1c06cc127c

120373121660 has 96 divisors (see below), whose sum is σ = 277884069120. Its totient is φ = 43436556800.

The previous prime is 120373121639. The next prime is 120373121669. The reversal of 120373121660 is 66121373021.

It is a super-2 number, since 2×1203731216602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120373121669) 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, 20514047 + ... + 20519913.

It is an arithmetic number, because the mean of its divisors is an integer number (2894625720).

Almost surely, 2120373121660 is an apocalyptic number.

120373121660 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 120373121660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138942034560).

120373121660 is an abundant number, since it is smaller than the sum of its proper divisors (157510947460).

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

120373121660 is a wasteful number, since it uses less digits than its factorization.

120373121660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 120373121660 its reverse (66121373021), we get a palindrome (186494494681).

The spelling of 120373121660 in words is "one hundred twenty billion, three hundred seventy-three million, one hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 521 716 895 1042 1790 1969 2084 2605 3580 3938 5210 5731 5867 7876 9845 10420 11462 11734 19690 22924 23468 28655 29335 39380 57310 58670 64537 93259 114620 117340 129074 186518 258148 322685 373036 466295 645370 932590 1025849 1050193 1290740 1865180 2051698 2100386 3056707 4103396 4200772 5129245 5250965 6113414 10258490 10501930 11552123 12226828 15283535 20516980 21003860 23104246 30567070 33623777 46208492 57760615 61134140 67247554 115521230 134495108 168118885 231042460 336237770 547150553 672475540 1094301106 2188602212 2735752765 5471505530 6018656083 10943011060 12037312166 24074624332 30093280415 60186560830 120373121660