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12042322320 = 2435726116787
BaseRepresentation
bin10110011011100011…
…10100000110010000
31011002020202100122210
423031301310012100
5144130313303240
65310540432120
7604264023300
oct131561640620
934066670583
1012042322320
11511a638aa6
122400b48640
13119bb62412
148234b7600
154a7330780
hex2cdc74190

12042322320 has 240 divisors, whose sum is σ = 44140621248. Its totient is φ = 2707246080.

The previous prime is 12042322319. The next prime is 12042322361. The reversal of 12042322320 is 2322324021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708967 + ... + 725753.

Almost surely, 212042322320 is an apocalyptic number.

12042322320 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 12042322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070310624).

12042322320 is an abundant number, since it is smaller than the sum of its proper divisors (32098298928).

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

12042322320 is a wasteful number, since it uses less digits than its factorization.

12042322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16878 (or 16865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12042322320 its reverse (2322324021), we get a palindrome (14364646341).

The spelling of 12042322320 in words is "twelve billion, forty-two million, three hundred twenty-two thousand, three hundred twenty".