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12000232330320 = 24351319311791912
BaseRepresentation
bin1010111010100000010110…
…0101011101010001010000
31120111012200211020201002010
42232220011211131101100
53033102433434032240
641304455225422520
72345662641542253
oct256500545352120
946435624221063
1012000232330320
1139072a733a033
12141988563aa40
13690803886750
142d6b587b909a
1515c248514280
hexaea0595d450

12000232330320 has 960 divisors, whose sum is σ = 44004783513600. Its totient is φ = 2678933606400.

The previous prime is 12000232330271. The next prime is 12000232330357. The reversal of 12000232330320 is 2303323200021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62828441425 + ... + 62828441615.

It is an arithmetic number, because the mean of its divisors is an integer number (45838316160).

Almost surely, 212000232330320 is an apocalyptic number.

12000232330320 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 12000232330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22002391756800).

12000232330320 is an abundant number, since it is smaller than the sum of its proper divisors (32004551183280).

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

12000232330320 is a wasteful number, since it uses less digits than its factorization.

12000232330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 12000232330320 its reverse (2303323200021), we get a palindrome (14303555530341).

The spelling of 12000232330320 in words is "twelve trillion, two hundred thirty-two million, three hundred thirty thousand, three hundred twenty".