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12300012312 = 23371723533533
BaseRepresentation
bin10110111010010001…
…10100101100011000
31011202012122100212120
423131020310230120
5200142300343222
65352303541240
7613543244130
oct133510645430
934665570776
1012300012312
115242044335
1224732ba820
1312103680c3
148497d5ac0
154bec8315c
hex2dd234b18

12300012312 has 256 divisors, whose sum is σ = 39571752960. Its totient is φ = 3103186944.

The previous prime is 12300012299. The next prime is 12300012313. The reversal of 12300012312 is 21321000321.

It is a junction number, because it is equal to n+sod(n) for n = 12300012291 and 12300012300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300012313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3479698 + ... + 3483230.

It is an arithmetic number, because the mean of its divisors is an integer number (154577160).

Almost surely, 212300012312 is an apocalyptic number.

12300012312 is a gapful number since it is divisible by the number (12) 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 12300012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19785876480).

12300012312 is an abundant number, since it is smaller than the sum of its proper divisors (27271740648).

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

12300012312 is a wasteful number, since it uses less digits than its factorization.

12300012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12300012312 its reverse (21321000321), we get a palindrome (33621012633).

The spelling of 12300012312 in words is "twelve billion, three hundred million, twelve thousand, three hundred twelve".