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12300113322112 = 2771123149336343
BaseRepresentation
bin1011001011111101011111…
…1000101010000010000000
31121112212202001020111020211
42302333113320222002000
53103011113002301422
642054332152043504
72406440163114130
oct262772770520200
947485661214224
1012300113322112
113a124a3341740
121467a17093594
136b2b84b479a5
14307485bbcac0
15164e4a516577
hexb2fd7e2a080

12300113322112 has 256 divisors, whose sum is σ = 31901123358720. Its totient is φ = 4580696862720.

The previous prime is 12300113322023. The next prime is 12300113322151. The reversal of 12300113322112 is 21122331100321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338427013 + ... + 338463355.

It is an arithmetic number, because the mean of its divisors is an integer number (124613763120).

Almost surely, 212300113322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300113322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15950561679360).

12300113322112 is an abundant number, since it is smaller than the sum of its proper divisors (19601010036608).

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

12300113322112 is a wasteful number, since it uses less digits than its factorization.

12300113322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37891 (or 37879 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12300113322112 its reverse (21122331100321), we get a palindrome (33422444422433).

The spelling of 12300113322112 in words is "twelve trillion, three hundred billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred twelve".