Search a number
-
+
12123211312320 = 263519739104791
BaseRepresentation
bin1011000001101010011110…
…1101000010110011000000
31120220222010102220021122020
42300122213231002303000
53042111314043443240
641441154300041440
72360605322621343
oct260324755026300
946828112807566
1012123211312320
113954474809449
121439686b33280
1369c2a1ca6754
142dcaa361645a
15160544cab0d0
hexb06a7b42cc0

12123211312320 has 224 divisors, whose sum is σ = 41072080903680. Its totient is φ = 3020750807040.

The previous prime is 12123211312309. The next prime is 12123211312327. The reversal of 12123211312320 is 2321311232121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12123211312327) 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 31 ways as a sum of consecutive naturals, for example, 3220876 + ... + 5883915.

Almost surely, 212123211312320 is an apocalyptic number.

12123211312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123211312320 is an abundant number, since it is smaller than the sum of its proper divisors (28948869591360).

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

12123211312320 is a wasteful number, since it uses less digits than its factorization.

12123211312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104903 (or 9104893 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12123211312320 its reverse (2321311232121), we get a palindrome (14444522544441).

The spelling of 12123211312320 in words is "twelve trillion, one hundred twenty-three billion, two hundred eleven million, three hundred twelve thousand, three hundred twenty".