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12289311720 = 23325721937991
BaseRepresentation
bin10110111001000000…
…00000001111101000
31011201110111201102100
423130200000033220
5200132030433340
65351242333400
7613353266100
oct133440001750
934643451370
1012289311720
115236aa5874
12246b7ba260
13120b08c6aa
1484820c200
154bdd6c830
hex2dc8003e8

12289311720 has 576 divisors, whose sum is σ = 50278924800. Its totient is φ = 2586608640.

The previous prime is 12289311709. The next prime is 12289311733. The reversal of 12289311720 is 2711398221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12400425 + ... + 12401415.

It is an arithmetic number, because the mean of its divisors is an integer number (87289800).

Almost surely, 212289311720 is an apocalyptic number.

12289311720 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 12289311720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25139462400).

12289311720 is an abundant number, since it is smaller than the sum of its proper divisors (37989613080).

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

12289311720 is a wasteful number, since it uses less digits than its factorization.

12289311720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12289311720 in words is "twelve billion, two hundred eighty-nine million, three hundred eleven thousand, seven hundred twenty".