Search a number
-
+
12308382720 = 2103251312039
BaseRepresentation
bin10110111011010001…
…10000010000000000
31011202210101121220200
423131220300100000
5200201421221340
65353203205200
7614004345504
oct133550602000
934683347820
1012308382720
115246841127
122476076800
131212008cca
1484a974304
154c0888330
hex2dda30400

12308382720 has 264 divisors, whose sum is σ = 42994860480. Its totient is φ = 3255582720.

The previous prime is 12308382707. The next prime is 12308382781. The reversal of 12308382720 is 2728380321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6035461 + ... + 6037499.

It is an arithmetic number, because the mean of its divisors is an integer number (162859320).

Almost surely, 212308382720 is an apocalyptic number.

12308382720 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 12308382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21497430240).

12308382720 is an abundant number, since it is smaller than the sum of its proper divisors (30686477760).

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

12308382720 is a wasteful number, since it uses less digits than its factorization.

12308382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12308382720 in words is "twelve billion, three hundred eight million, three hundred eighty-two thousand, seven hundred twenty".