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12312323122120 = 2357297128176001
BaseRepresentation
bin1011001100101010111110…
…1001010110001111001000
31121121001020222010121002221
42303022233221112033020
53103211114204401440
642104111514303424
72410351562522530
oct263125751261710
947531228117087
1012312323122120
113a1769946a14a
12146a264127b74
136b407c5b8318
14307cc36104c0
151654123c9d4a
hexb32afa563c8

12312323122120 has 256 divisors, whose sum is σ = 33331923532800. Its totient is φ = 4004044800000.

The previous prime is 12312323122061. The next prime is 12312323122133. The reversal of 12312323122120 is 2122132321321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161964120 + ... + 162040120.

It is an arithmetic number, because the mean of its divisors is an integer number (130202826300).

Almost surely, 212312323122120 is an apocalyptic number.

12312323122120 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 12312323122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665961766400).

12312323122120 is an abundant number, since it is smaller than the sum of its proper divisors (21019600410680).

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

12312323122120 is a wasteful number, since it uses less digits than its factorization.

12312323122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76400 (or 76396 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12312323122120 its reverse (2122132321321), we get a palindrome (14434455443441).

The spelling of 12312323122120 in words is "twelve trillion, three hundred twelve billion, three hundred twenty-three million, one hundred twenty-two thousand, one hundred twenty".