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12512300724 = 22327211231261
BaseRepresentation
bin10111010011100101…
…01000111010110100
31012022000002201211100
423221302220322310
5201111122110344
65425330010100
7622031541600
oct135162507264
935260081740
1012512300724
11534095a800
122512416930
131245335751
14869a96500
154d3718569
hex2e9ca8eb4

12512300724 has 486 divisors, whose sum is σ = 42472597986. Its totient is φ = 3093552000.

The previous prime is 12512300711. The next prime is 12512300729. The reversal of 12512300724 is 42700321521.

It can be written as a sum of positive squares in only one way, i.e., 7384308624 + 5127992100 = 85932^2 + 71610^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12512300729) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 205119654 + ... + 205119714.

Almost surely, 212512300724 is an apocalyptic number.

12512300724 is a gapful number since it is divisible by the number (14) 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 12512300724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21236298993).

12512300724 is an abundant number, since it is smaller than the sum of its proper divisors (29960297262).

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

12512300724 is a wasteful number, since it uses less digits than its factorization.

12512300724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

It can be divided in two parts, 12512 and 300724, that added together give a triangular number (313236 = T791).

The spelling of 12512300724 in words is "twelve billion, five hundred twelve million, three hundred thousand, seven hundred twenty-four".