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12405316400 = 245259525649
BaseRepresentation
bin10111000110110101…
…00001101100110000
31012000112210100220222
423203122201230300
5200401230111100
65410544552212
7616262310131
oct134332415460
935015710828
1012405316400
115296528904
1224a2622668
131229117c09
148597a7c88
154c9134485
hex2e36a1b30

12405316400 has 60 divisors (see below), whose sum is σ = 30308979000. Its totient is φ = 4878013440.

The previous prime is 12405316397. The next prime is 12405316403. The reversal of 12405316400 is 461350421.

It is an interprime number because it is at equal distance from previous prime (12405316397) and next prime (12405316403).

It is a self number, because there is not a number n which added to its sum of digits gives 12405316400.

It is not an unprimeable number, because it can be changed into a prime (12405316403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239225 + ... + 286424.

It is an arithmetic number, because the mean of its divisors is an integer number (505149650).

Almost surely, 212405316400 is an apocalyptic number.

12405316400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12405316400 is an abundant number, since it is smaller than the sum of its proper divisors (17903662600).

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

12405316400 is a wasteful number, since it uses less digits than its factorization.

12405316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525726 (or 525715 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 12405316400 its reverse (461350421), we get a palindrome (12866666821).

The spelling of 12405316400 in words is "twelve billion, four hundred five million, three hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 4720 5900 11800 23600 525649 1051298 2102596 2628245 4205192 5256490 8410384 10512980 13141225 21025960 26282450 31013291 42051920 52564900 62026582 105129800 124053164 155066455 210259600 248106328 310132910 496212656 620265820 775332275 1240531640 1550664550 2481063280 3101329100 6202658200 12405316400