Search a number
-
+
123112020 = 223519791367
BaseRepresentation
bin1110101011010…
…00101001010100
322120122201221110
413111220221110
5223004041040
620114415020
73023302113
oct725505124
9276581843
10123112020
1163547979
1235291470
131c676565
14124c9c7a
15ac1c980
hex7568a54

123112020 has 96 divisors (see below), whose sum is σ = 367718400. Its totient is φ = 30685824.

The previous prime is 123112019. The next prime is 123112051. The reversal of 123112020 is 20211321.

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 = 123111987 and 123112005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89377 + ... + 90743.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2123112020 is an apocalyptic number.

123112020 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 123112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183859200).

123112020 is an abundant number, since it is smaller than the sum of its proper divisors (244606380).

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

123112020 is a wasteful number, since it uses less digits than its factorization.

123112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 123112020 is about 11095.5856087004. The cubic root of 123112020 is about 497.4699122398.

Adding to 123112020 its reverse (20211321), we get a palindrome (143323341).

The spelling of 123112020 in words is "one hundred twenty-three million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 79 95 114 158 190 228 237 285 316 380 395 474 570 790 948 1140 1185 1367 1501 1580 2370 2734 3002 4101 4503 4740 5468 6004 6835 7505 8202 9006 13670 15010 16404 18012 20505 22515 25973 27340 30020 41010 45030 51946 77919 82020 90060 103892 107993 129865 155838 215986 259730 311676 323979 389595 431972 519460 539965 647958 779190 1079930 1295916 1558380 1619895 2051867 2159860 3239790 4103734 6155601 6479580 8207468 10259335 12311202 20518670 24622404 30778005 41037340 61556010 123112020