Search a number
-
+
12320013122320 = 2451983971995059
BaseRepresentation
bin1011001101000111101000…
…0000010111101100010000
31121121210002220020002020011
42303101322000113230100
53103322341324403240
642111422541524304
72411043260454301
oct263217200275420
947553086202204
1012320013122320
113a1a985253112
12146b84b573694
136b4a0683bbb7
14308412a607a8
1516571258d6ea
hexb347a017b10

12320013122320 has 320 divisors, whose sum is σ = 30990516480000. Its totient is φ = 4541000859648.

The previous prime is 12320013122299. The next prime is 12320013122323. The reversal of 12320013122320 is 2322131002321.

It is a junction number, because it is equal to n+sod(n) for n = 12320013122291 and 12320013122300.

It is not an unprimeable number, because it can be changed into a prime (12320013122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435263951 + ... + 2435269009.

It is an arithmetic number, because the mean of its divisors is an integer number (96845364000).

Almost surely, 212320013122320 is an apocalyptic number.

12320013122320 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 12320013122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495258240000).

12320013122320 is an abundant number, since it is smaller than the sum of its proper divisors (18670503357680).

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

12320013122320 is a wasteful number, since it uses less digits than its factorization.

12320013122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5464 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12320013122320 its reverse (2322131002321), we get a palindrome (14642144124641).

The spelling of 12320013122320 in words is "twelve trillion, three hundred twenty billion, thirteen million, one hundred twenty-two thousand, three hundred twenty".