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12322023120 = 24325112715741
BaseRepresentation
bin10110111100111001…
…10010011011010000
31011210202001122000200
423132130302123100
5200213414214440
65354411415200
7614231316441
oct133634623320
934722048020
1012322023120
115253508390
12247a754500
131214aa3854
1484c6c52c8
154c1b7ec30
hex2de7326d0

12322023120 has 240 divisors, whose sum is σ = 45317885184. Its totient is φ = 2975616000.

The previous prime is 12322023097. The next prime is 12322023139. The reversal of 12322023120 is 2132022321.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12322023093 and 12322023102.

It is a congruent number.

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, 2143450 + ... + 2149190.

Almost surely, 212322023120 is an apocalyptic number.

12322023120 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 12322023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22658942592).

12322023120 is an abundant number, since it is smaller than the sum of its proper divisors (32995862064).

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

12322023120 is a wasteful number, since it uses less digits than its factorization.

12322023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12322023120 its reverse (2132022321), we get a palindrome (14454045441).

The spelling of 12322023120 in words is "twelve billion, three hundred twenty-two million, twenty-three thousand, one hundred twenty".