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12204601344 = 21233132653
BaseRepresentation
bin10110101110111001…
…10111000000000000
31011111120002222122000
423113130313000000
5144443334220334
65335014544000
7611304254055
oct132734670000
934446088560
1012204601344
1151a31a76a1
122447368000
1311c6670300
1483ac7b02c
154b66d8299
hex2d7737000

12204601344 has 312 divisors, whose sum is σ = 39212610480. Its totient is φ = 3749511168.

The previous prime is 12204601333. The next prime is 12204601349. The reversal of 12204601344 is 44310640221.

It is a happy number.

12204601344 is a `hidden beast` number, since 1 + 2 + 20 + 4 + 601 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204601349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18689722 + ... + 18690374.

Almost surely, 212204601344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12204601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606305240).

12204601344 is an abundant number, since it is smaller than the sum of its proper divisors (27008009136).

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

12204601344 is an equidigital number, since it uses as much as digits as its factorization.

12204601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12204601344 in words is "twelve billion, two hundred four million, six hundred one thousand, three hundred forty-four".