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12086845920 = 253452324143
BaseRepresentation
bin10110100000110111…
…01010000111100000
31011012100112101120000
423100123222013200
5144223213032140
65315211020000
7605344331562
oct132033520740
934170471500
1012086845920
115142789266
122413a3a600
1311a8150c46
14829387332
154ab1c7a30
hex2d06ea1e0

12086845920 has 720 divisors, whose sum is σ = 46741674672. Its totient is φ = 2937876480.

The previous prime is 12086845889. The next prime is 12086845921. The reversal of 12086845920 is 2954868021.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086845921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 281089419 + ... + 281089461.

Almost surely, 212086845920 is an apocalyptic number.

12086845920 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 12086845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23370837336).

12086845920 is an abundant number, since it is smaller than the sum of its proper divisors (34654828752).

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

12086845920 is a wasteful number, since it uses less digits than its factorization.

12086845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12086845920 in words is "twelve billion, eighty-six million, eight hundred forty-five thousand, nine hundred twenty".