Search a number
-
+
12132403120 = 2451171129509
BaseRepresentation
bin10110100110010010…
…11100011110110000
31011022112020221021201
423103021130132300
5144321343344440
65323515300544
7606436503445
oct132311343660
934275227251
1012132403120
115166475042
12242714a754
1311b4712076
148314459cc
154b01c619a
hex2d325c7b0

12132403120 has 40 divisors (see below), whose sum is σ = 28232143920. Its totient is φ = 4848779520.

The previous prime is 12132403099. The next prime is 12132403169. The reversal of 12132403120 is 2130423121.

It is a happy number.

12132403120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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, 28926 + ... + 158434.

It is an arithmetic number, because the mean of its divisors is an integer number (705803598).

Almost surely, 212132403120 is an apocalyptic number.

12132403120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132403120 is an abundant number, since it is smaller than the sum of its proper divisors (16099740800).

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

12132403120 is a wasteful number, since it uses less digits than its factorization.

12132403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130693 (or 130687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12132403120 its reverse (2130423121), we get a palindrome (14262826241).

The spelling of 12132403120 in words is "twelve billion, one hundred thirty-two million, four hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1171 2342 4684 5855 9368 11710 18736 23420 46840 93680 129509 259018 518036 647545 1036072 1295090 2072144 2590180 5180360 10360720 151655039 303310078 606620156 758275195 1213240312 1516550390 2426480624 3033100780 6066201560 12132403120