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12123310222320 = 243511291141113877
BaseRepresentation
bin1011000001101010110110…
…0110010110101111110000
31120220222101100000102122120
42300122231212112233300
53042112014404103240
641441212152034240
72360610633423603
oct260325546265760
946828340012576
1012123310222320
113954515625a50
1214396b4092980
1369c2b962808b
142dcab280233a
1516054d7e7ad0
hexb06ad996bf0

12123310222320 has 320 divisors, whose sum is σ = 42419357130240. Its totient is φ = 2837186867200.

The previous prime is 12123310222319. The next prime is 12123310222363. The reversal of 12123310222320 is 2322201332121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873619222 + ... + 873633098.

It is an arithmetic number, because the mean of its divisors is an integer number (132560491032).

Almost surely, 212123310222320 is an apocalyptic number.

12123310222320 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 12123310222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209678565120).

12123310222320 is an abundant number, since it is smaller than the sum of its proper divisors (30296046907920).

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

12123310222320 is a wasteful number, since it uses less digits than its factorization.

12123310222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25344 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12123310222320 its reverse (2322201332121), we get a palindrome (14445511554441).

The spelling of 12123310222320 in words is "twelve trillion, one hundred twenty-three billion, three hundred ten million, two hundred twenty-two thousand, three hundred twenty".