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12312140120 = 23572343173257
BaseRepresentation
bin10110111011101110…
…00101100101011000
31011210001110112002122
423131313011211120
5200203401440440
65353415520412
7614051315150
oct133567054530
934701415078
1012312140120
115248978115
122477389108
131212a23317
1484b271760
154c0d7b7b5
hex2dddc5958

12312140120 has 256 divisors, whose sum is σ = 34132285440. Its totient is φ = 3905814528.

The previous prime is 12312140111. The next prime is 12312140131. The reversal of 12312140120 is 2104121321.

It is a super-2 number, since 2×123121401202 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 47907032 + ... + 47907288.

It is an arithmetic number, because the mean of its divisors is an integer number (133329240).

Almost surely, 212312140120 is an apocalyptic number.

12312140120 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 12312140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17066142720).

12312140120 is an abundant number, since it is smaller than the sum of its proper divisors (21820145320).

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

12312140120 is a wasteful number, since it uses less digits than its factorization.

12312140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12312140120 its reverse (2104121321), we get a palindrome (14416261441).

The spelling of 12312140120 in words is "twelve billion, three hundred twelve million, one hundred forty thousand, one hundred twenty".