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12326222505420 = 2233531279300667
BaseRepresentation
bin1011001101011110110000…
…0111010010010111001100
31121122101010122021102112000
42303113230013102113030
53103423100430133140
642114331034312300
72411353166400105
oct263275407222714
947571118242460
1012326222505420
113a2258129558a
121470aa2b88690
136b54860c8a95
143088415b53ac
15165977785a30
hexb35ec1d25cc

12326222505420 has 288 divisors, whose sum is σ = 40126910745600. Its totient is φ = 3140684876160.

The previous prime is 12326222505419. The next prime is 12326222505427. The reversal of 12326222505420 is 2450522262321.

12326222505420 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 6 + 2 + 225 + 0 + 5 + 420 = 666.

It is a super-2 number, since 2×123262225054202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12326222505427) by changing a digit.

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, 40845927 + ... + 41146593.

It is an arithmetic number, because the mean of its divisors is an integer number (139329551200).

Almost surely, 212326222505420 is an apocalyptic number.

12326222505420 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 12326222505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063455372800).

12326222505420 is an abundant number, since it is smaller than the sum of its proper divisors (27800688240180).

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

12326222505420 is a wasteful number, since it uses less digits than its factorization.

12326222505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300826 (or 300787 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 12326222505420 its reverse (2450522262321), we get a palindrome (14776744767741).

The spelling of 12326222505420 in words is "twelve trillion, three hundred twenty-six billion, two hundred twenty-two million, five hundred five thousand, four hundred twenty".