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12312314520 = 233511107179487
BaseRepresentation
bin10110111011101111…
…10000001010011000
31011210001210101022220
423131313300022120
5200203423031040
65353423344040
7614052642462
oct133567601230
934701711286
1012312314520
115248a87150
122477452020
131212a8480c
1484b2b9132
154c0db32d0
hex2dddf0298

12312314520 has 256 divisors, whose sum is σ = 40982630400. Its totient is φ = 2934351360.

The previous prime is 12312314489. The next prime is 12312314543. The reversal of 12312314520 is 2541321321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25281717 + ... + 25282203.

It is an arithmetic number, because the mean of its divisors is an integer number (160088400).

Almost surely, 212312314520 is an apocalyptic number.

12312314520 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 12312314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491315200).

12312314520 is an abundant number, since it is smaller than the sum of its proper divisors (28670315880).

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

12312314520 is a wasteful number, since it uses less digits than its factorization.

12312314520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12312314520 its reverse (2541321321), we get a palindrome (14853635841).

The spelling of 12312314520 in words is "twelve billion, three hundred twelve million, three hundred fourteen thousand, five hundred twenty".