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12234784320 = 263451124783
BaseRepresentation
bin10110110010011111…
…11111111001000000
31011120122220102220000
423121033333321000
5200024101044240
65342013520000
7612121644063
oct133117777100
934518812800
1012234784320
115209242600
1224554a3000
1311cc9aa665
14840c968da
154b919b430
hex2d93ffe40

12234784320 has 840 divisors, whose sum is σ = 49443875712. Its totient is φ = 2867927040.

The previous prime is 12234784319. The next prime is 12234784321. The reversal of 12234784320 is 2348743221.

It is a happy number.

12234784320 is a `hidden beast` number, since 122 + 3 + 478 + 43 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12234784319) and next prime (12234784321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12234784321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147406999 + ... + 147407081.

Almost surely, 212234784320 is an apocalyptic number.

12234784320 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 12234784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721937856).

12234784320 is an abundant number, since it is smaller than the sum of its proper divisors (37209091392).

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

12234784320 is a wasteful number, since it uses less digits than its factorization.

12234784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12234784320 in words is "twelve billion, two hundred thirty-four million, seven hundred eighty-four thousand, three hundred twenty".