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12123909120 = 210351941543
BaseRepresentation
bin10110100101010010…
…00010110000000000
31011021221021101201010
423102221002300000
5144312210042440
65323013240520
7606304345551
oct132251026000
934257241633
1012123909120
1151616a3404
122424333140
1311b2a29b2b
14830274328
154ae599580
hex2d2a42c00

12123909120 has 176 divisors, whose sum is σ = 40819472640. Its totient is φ = 3062808576.

The previous prime is 12123909113. The next prime is 12123909121. The reversal of 12123909120 is 2190932121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12123909121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271069 + ... + 312611.

Almost surely, 212123909120 is an apocalyptic number.

12123909120 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 12123909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409736320).

12123909120 is an abundant number, since it is smaller than the sum of its proper divisors (28695563520).

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

12123909120 is a wasteful number, since it uses less digits than its factorization.

12123909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41590 (or 41572 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 12123909120 in words is "twelve billion, one hundred twenty-three million, nine hundred nine thousand, one hundred twenty".