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2331412122120 = 2335232139264221
BaseRepresentation
bin100001111011010010111…
…111011100101000001000
322020212210010020000110120
4201323102333130220020
5301144213000401440
64543011432543240
7330303365030364
oct41732277345010
98225703200416
102331412122120
118198233aa394
12317a15251b20
1313bb0b18c293
1480bab7c62a4
15409a3251dd0
hex21ed2fdca08

2331412122120 has 192 divisors, whose sum is σ = 7364184206400. Its totient is φ = 590398533120.

The previous prime is 2331412122113. The next prime is 2331412122121. The reversal of 2331412122120 is 212212141332.

2331412122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2331412122121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8691610 + ... + 8955830.

It is an arithmetic number, because the mean of its divisors is an integer number (38355126075).

Almost surely, 22331412122120 is an apocalyptic number.

2331412122120 is a gapful number since it is divisible by the number (20) 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 2331412122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682092103200).

2331412122120 is an abundant number, since it is smaller than the sum of its proper divisors (5032772084280).

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

2331412122120 is a wasteful number, since it uses less digits than its factorization.

2331412122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264420 (or 264393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2331412122120 its reverse (212212141332), we get a palindrome (2543624263452).

The spelling of 2331412122120 in words is "two trillion, three hundred thirty-one billion, four hundred twelve million, one hundred twenty-two thousand, one hundred twenty".