Search a number
-
+
4122312120 = 2332511450867
BaseRepresentation
bin1111010110110101…
…0111110110111000
3101122021212011010200
43311231113312320
531420302441440
61521015242200
7204104034453
oct36555276670
911567764120
104122312120
111825a35123
12970679360
13509077b54
142b16b249a
15191d85c30
hexf5b57db8

4122312120 has 48 divisors (see below), whose sum is σ = 13397515560. Its totient is φ = 1099283136.

The previous prime is 4122312119. The next prime is 4122312137. The reversal of 4122312120 is 212132214.

It is a happy number.

4122312120 is a `hidden beast` number, since 412 + 231 + 2 + 1 + 20 = 666.

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 = 4122312093 and 4122312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5725074 + ... + 5725793.

Almost surely, 24122312120 is an apocalyptic number.

4122312120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122312120 is an abundant number, since it is smaller than the sum of its proper divisors (9275203440).

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

4122312120 is a wasteful number, since it uses less digits than its factorization.

4122312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450884 (or 11450877 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4122312120 is about 64205.2343660546. The cubic root of 4122312120 is about 1603.4187471936.

Adding to 4122312120 its reverse (212132214), we get a palindrome (4334444334).

The spelling of 4122312120 in words is "four billion, one hundred twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11450867 22901734 34352601 45803468 57254335 68705202 91606936 103057803 114508670 137410404 171763005 206115606 229017340 274820808 343526010 412231212 458034680 515289015 687052020 824462424 1030578030 1374104040 2061156060 4122312120