Search a number
-
+
12404023209120 = 253544966187071
BaseRepresentation
bin1011010010000000100101…
…1001011010110010100000
31121220210221201000200011110
42310200021121122302200
53111211414420142440
642214155105343320
72420106154433124
oct264401131326240
947823851020143
1012404023209120
113a52575802814
121483b96337b40
136bc9046b762a
1430c502217584
151679ccb26080
hexb480965aca0

12404023209120 has 192 divisors, whose sum is σ = 39219388185600. Its totient is φ = 3295341772800.

The previous prime is 12404023209119. The next prime is 12404023209131. The reversal of 12404023209120 is 2190232040421.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 142415185 + ... + 142502255.

It is an arithmetic number, because the mean of its divisors is an integer number (204267646800).

Almost surely, 212404023209120 is an apocalyptic number.

12404023209120 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 12404023209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19609694092800).

12404023209120 is an abundant number, since it is smaller than the sum of its proper divisors (26815364976480).

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

12404023209120 is a wasteful number, since it uses less digits than its factorization.

12404023209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88199 (or 88191 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12404023209120 its reverse (2190232040421), we get a palindrome (14594255249541).

The spelling of 12404023209120 in words is "twelve trillion, four hundred four billion, twenty-three million, two hundred nine thousand, one hundred twenty".