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12443397120 = 2103357211167
BaseRepresentation
bin10111001011010111…
…10010110000000000
31012010012110001212000
423211223302300000
5200441002201440
65414425104000
7620234062500
oct134553626000
935105401760
1012443397120
115305a78480
1224b3328000
131233c8bc9b
1486087ba00
154cc657730
hex2e5af2c00

12443397120 has 1056 divisors, whose sum is σ = 56453967360. Its totient is φ = 2570158080.

The previous prime is 12443397119. The next prime is 12443397133. The reversal of 12443397120 is 2179334421.

It is a happy number.

12443397120 is a `hidden beast` number, since 1 + 2 + 443 + 3 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74511277 + ... + 74511443.

Almost surely, 212443397120 is an apocalyptic number.

12443397120 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 12443397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226983680).

12443397120 is an abundant number, since it is smaller than the sum of its proper divisors (44010570240).

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

12443397120 is a wasteful number, since it uses less digits than its factorization.

12443397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12443397120 in words is "twelve billion, four hundred forty-three million, three hundred ninety-seven thousand, one hundred twenty".