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12323200323200 = 2752132334737117
BaseRepresentation
bin1011001101010011011111…
…1110100100111010000000
31121122002100000111122220012
42303110313332210322000
53103400403240320300
642113111114404052
72411215251306164
oct263246776447200
947562300448805
1012323200323200
113a21270354328
12147039aa30628
136b50c3c48a90
14308636076ca4
1516584c2ae435
hexb3537fa4e80

12323200323200 has 384 divisors, whose sum is σ = 34308755349120. Its totient is φ = 4339614597120.

The previous prime is 12323200323157. The next prime is 12323200323277. The reversal of 12323200323200 is 232300232321.

It is a super-2 number, since 2×123232003232002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 47 ways as a sum of consecutive naturals, for example, 331991042 + ... + 332028158.

It is an arithmetic number, because the mean of its divisors is an integer number (89345717055).

Almost surely, 212323200323200 is an apocalyptic number.

12323200323200 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 12323200323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154377674560).

12323200323200 is an abundant number, since it is smaller than the sum of its proper divisors (21985555025920).

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

12323200323200 is a wasteful number, since it uses less digits than its factorization.

12323200323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37524 (or 37507 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 12323200323200 its reverse (232300232321), we get a palindrome (12555500555521).

The spelling of 12323200323200 in words is "twelve trillion, three hundred twenty-three billion, two hundred million, three hundred twenty-three thousand, two hundred".