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12332320 = 2557211213
BaseRepresentation
bin101111000010…
…110100100000
3212012112202121
4233002310200
511124113240
61120154024
7206552200
oct57026440
925175677
1012332320
116a63500
124168914
13272a340
1418d0400
15113904a
hexbc2d20

12332320 has 216 divisors, whose sum is σ = 40118652. Its totient is φ = 3548160.

The previous prime is 12332303. The next prime is 12332323. The reversal of 12332320 is 2323321.

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 853776 = 3388^2 + 924^2 .

It is a super-2 number, since 2×123323202 = 304172233164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12332294 and 12332303.

It is not an unprimeable number, because it can be changed into a prime (12332323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 948634 + ... + 948646.

Almost surely, 212332320 is an apocalyptic number.

12332320 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 12332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059326).

12332320 is an abundant number, since it is smaller than the sum of its proper divisors (27786332).

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

12332320 is a wasteful number, since it uses less digits than its factorization.

12332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 12332320 is about 3511.7403093053. The cubic root of 12332320 is about 231.0370311003.

Adding to 12332320 its reverse (2323321), we get a palindrome (14655641).

It can be divided in two parts, 1233 and 2320, that added together give a palindrome (3553).

The spelling of 12332320 in words is "twelve million, three hundred thirty-two thousand, three hundred twenty".