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12332411103012 = 2237111317477331753
BaseRepresentation
bin1011001101110101110011…
…1110111010011100100100
31121122222002221012202110020
42303131130332322130210
53104023234220244022
642121233105355140
72411662433532510
oct263353476723444
947588087182406
1012332411103012
113a25167620550
12147212b638ab0
136b5c31288b50
14308c6b479140
15165bdac2435c
hexb375cfba724

12332411103012 has 768 divisors, whose sum is σ = 41859755900928. Its totient is φ = 2718413291520.

The previous prime is 12332411102989. The next prime is 12332411103013. The reversal of 12332411103012 is 21030111423321.

It is a super-2 number, since 2×123324111030122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12332411103013) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7035031128 + ... + 7035032880.

It is an arithmetic number, because the mean of its divisors is an integer number (54504890496).

Almost surely, 212332411103012 is an apocalyptic number.

12332411103012 is a gapful number since it is divisible by the number (12) 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 12332411103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929877950464).

12332411103012 is an abundant number, since it is smaller than the sum of its proper divisors (29527344797916).

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

12332411103012 is a wasteful number, since it uses less digits than its factorization.

12332411103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12332411103012 its reverse (21030111423321), we get a palindrome (33362522526333).

The spelling of 12332411103012 in words is "twelve trillion, three hundred thirty-two billion, four hundred eleven million, one hundred three thousand, twelve".