Search a number
-
+
12300669720 = 233557983193
BaseRepresentation
bin10110111010010110…
…10101001100011000
31011202020212202200000
423131023111030120
5200142432412340
65352330013000
7613551652563
oct133513251430
934666782600
1012300669720
115242453249
122473577160
1312105383c1
148499274da
154bed62d30
hex2dd2d5318

12300669720 has 384 divisors, whose sum is σ = 42708556800. Its totient is φ = 3183058944.

The previous prime is 12300669713. The next prime is 12300669761. The reversal of 12300669720 is 2796600321.

12300669720 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 (36).

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 95 ways as a sum of consecutive naturals, for example, 63733944 + ... + 63734136.

It is an arithmetic number, because the mean of its divisors is an integer number (111220200).

Almost surely, 212300669720 is an apocalyptic number.

12300669720 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 12300669720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354278400).

12300669720 is an abundant number, since it is smaller than the sum of its proper divisors (30407887080).

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

12300669720 is a wasteful number, since it uses less digits than its factorization.

12300669720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 12300669720 in words is "twelve billion, three hundred million, six hundred sixty-nine thousand, seven hundred twenty".