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12103120320 = 2635371272683
BaseRepresentation
bin10110100010110011…
…01111010111000000
31011020111011012211120
423101121233113000
5144241344322240
65320551512240
7605632553034
oct132131572700
934214135746
1012103120320
115150994485
122419388680
1311ab62b675
1482b5c21c4
154ac83ead0
hex2d166f5c0

12103120320 has 224 divisors, whose sum is σ = 39791566848. Its totient is φ = 3114381312.

The previous prime is 12103120319. The next prime is 12103120331. The reversal of 12103120320 is 2302130121.

12103120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12103120320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4509699 + ... + 4512381.

Almost surely, 212103120320 is an apocalyptic number.

12103120320 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 12103120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895783424).

12103120320 is an abundant number, since it is smaller than the sum of its proper divisors (27688446528).

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

12103120320 is a wasteful number, since it uses less digits than its factorization.

12103120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12103120320 its reverse (2302130121), we get a palindrome (14405250441).

The spelling of 12103120320 in words is "twelve billion, one hundred three million, one hundred twenty thousand, three hundred twenty".