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12332310320 = 24511229197223
BaseRepresentation
bin10110111110001000…
…00001111100110000
31011211110102021102002
423133010001330300
5200224032412240
65355420113132
7614414623331
oct133704017460
934743367362
1012332310320
1152592a4300
1224820957a8
131216c66055
1484dc02288
154c2a12d15
hex2df101f30

12332310320 has 240 divisors, whose sum is σ = 32915393280. Its totient is φ = 4288542720.

The previous prime is 12332310313. The next prime is 12332310343. The reversal of 12332310320 is 2301323321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12332310292 and 12332310301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55301729 + ... + 55301951.

It is an arithmetic number, because the mean of its divisors is an integer number (137147472).

Almost surely, 212332310320 is an apocalyptic number.

12332310320 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 12332310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640).

12332310320 is an abundant number, since it is smaller than the sum of its proper divisors (20583082960).

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

12332310320 is a wasteful number, since it uses less digits than its factorization.

12332310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12332310320 its reverse (2301323321), we get a palindrome (14633633641).

The spelling of 12332310320 in words is "twelve billion, three hundred thirty-two million, three hundred ten thousand, three hundred twenty".