Search a number
-
+
12323130303120 = 243571337101150989
BaseRepresentation
bin1011001101010011001111…
…0011011110001010010000
31121122002011010202021101220
42303110303303132022100
53103400232324144440
642113100133525040
72411213441200050
oct263246363361220
947562133667356
1012323130303120
113a2123487a19a
12147037b4a3780
136b50b25a1090
1430862aa4b560
1516584607c8d0
hexb3533cde290

12323130303120 has 640 divisors, whose sum is σ = 48766648734720. Its totient is φ = 2504709734400.

The previous prime is 12323130303103. The next prime is 12323130303131. The reversal of 12323130303120 is 2130303132321.

12323130303120 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81540586 + ... + 81691574.

It is an arithmetic number, because the mean of its divisors is an integer number (76197888648).

Almost surely, 212323130303120 is an apocalyptic number.

12323130303120 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 12323130303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24383324367360).

12323130303120 is an abundant number, since it is smaller than the sum of its proper divisors (36443518431600).

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

12323130303120 is a wasteful number, since it uses less digits than its factorization.

12323130303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151163 (or 151157 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12323130303120 its reverse (2130303132321), we get a palindrome (14453433435441).

The spelling of 12323130303120 in words is "twelve trillion, three hundred twenty-three billion, one hundred thirty million, three hundred three thousand, one hundred twenty".