Search a number
-
+
12120120120 = 2335101001001
BaseRepresentation
bin10110100100110101…
…00101101100111000
31011021200010220011210
423102122211230320
5144310222320440
65322400123120
7606230215113
oct132232455470
934250126153
1012120120120
11515a5456a9
1224230064a0
1311b2001314
1482d96957a
154ae09ba80
hex2d26a5b38

12120120120 has 32 divisors (see below), whose sum is σ = 36360360720. Its totient is φ = 3232032000.

The previous prime is 12120120091. The next prime is 12120120161. The reversal of 12120120120 is 2102102121.

12120120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

12120120120 is a modest number, since divided by 120120 gives 12120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12120120096 and 12120120105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50500381 + ... + 50500620.

Almost surely, 212120120120 is an apocalyptic number.

12120120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120120120 is an abundant number, since it is smaller than the sum of its proper divisors (24240240600).

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

12120120120 is a wasteful number, since it uses less digits than its factorization.

12120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101001015 (or 101001011 counting only the distinct ones).

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

Adding to 12120120120 its reverse (2102102121), we get a palindrome (14222222241).

The spelling of 12120120120 in words is "twelve billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 101001001 202002002 303003003 404004004 505005005 606006006 808008008 1010010010 1212012012 1515015015 2020020020 2424024024 3030030030 4040040040 6060060060 12120120120