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12303302331320 = 235721113213120599
BaseRepresentation
bin1011001100001001010111…
…1101110000101110111000
31121120011222021220221110222
42303002111331300232320
53103034130344100240
642100020431355212
72406612205210100
oct263022575605670
947504867827428
1012303302331320
113a1388a468540
121468567082b08
136b32727389a0
143076a9546200
15165085492eb5
hexb3095f70bb8

12303302331320 has 384 divisors, whose sum is σ = 37851323328000. Its totient is φ = 3537978393600.

The previous prime is 12303302331319. The next prime is 12303302331349. The reversal of 12303302331320 is 2313320330321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 12303302331320.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 597266381 + ... + 597286979.

It is an arithmetic number, because the mean of its divisors is an integer number (98571154500).

Almost surely, 212303302331320 is an apocalyptic number.

12303302331320 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 12303302331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925661664000).

12303302331320 is an abundant number, since it is smaller than the sum of its proper divisors (25548020996680).

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

12303302331320 is a wasteful number, since it uses less digits than its factorization.

12303302331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22779 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 12303302331320 its reverse (2313320330321), we get a palindrome (14616622661641).

The spelling of 12303302331320 in words is "twelve trillion, three hundred three billion, three hundred two million, three hundred thirty-one thousand, three hundred twenty".