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12303232132320 = 253451937236497
BaseRepresentation
bin1011001100001001000111…
…0001111110010011100000
31121120011210101211110120000
42303002101301332103200
53103034004411213240
642100005443020000
72406610363424223
oct263022161762340
947504711743500
1012303232132320
113a13853880a38
12146854766a600
136b326102a70c
143076a00b15ba
1516507e228430
hexb3091c7e4e0

12303232132320 has 720 divisors, whose sum is σ = 46975383045360. Its totient is φ = 3024097099776.

The previous prime is 12303232132313. The next prime is 12303232132337. The reversal of 12303232132320 is 2323123230321.

12303232132320 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 323 + 2 + 13 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 337084312 + ... + 337120808.

It is an arithmetic number, because the mean of its divisors is an integer number (65243587563).

Almost surely, 212303232132320 is an apocalyptic number.

12303232132320 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 12303232132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23487691522680).

12303232132320 is an abundant number, since it is smaller than the sum of its proper divisors (34672150913040).

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

12303232132320 is a wasteful number, since it uses less digits than its factorization.

12303232132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36617 (or 36563 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12303232132320 its reverse (2323123230321), we get a palindrome (14626355362641).

The spelling of 12303232132320 in words is "twelve trillion, three hundred three billion, two hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".