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12230032320 = 2633511128683
BaseRepresentation
bin10110110001111011…
…10111101111000000
31011120022222000101000
423120331313233000
5200021342013240
65341324012000
7612033362622
oct133075675700
934508860330
1012230032320
115206597330
122453991000
1311cba0571c
148403bac12
154b8a5d430
hex2d8f77bc0

12230032320 has 224 divisors, whose sum is σ = 47067459840. Its totient is φ = 2964833280.

The previous prime is 12230032307. The next prime is 12230032327. The reversal of 12230032320 is 2323003221.

It is a happy number.

12230032320 is a `hidden beast` number, since 1 + 22 + 300 + 323 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12230032293 and 12230032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230032327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30699 + ... + 159381.

Almost surely, 212230032320 is an apocalyptic number.

12230032320 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 12230032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533729920).

12230032320 is an abundant number, since it is smaller than the sum of its proper divisors (34837427520).

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

12230032320 is a wasteful number, since it uses less digits than its factorization.

12230032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128720 (or 128704 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12230032320 its reverse (2323003221), we get a palindrome (14553035541).

The spelling of 12230032320 in words is "twelve billion, two hundred thirty million, thirty-two thousand, three hundred twenty".