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12408258672 = 2433139206639
BaseRepresentation
bin10111000111001011…
…10000000001110000
31012000202022211222000
423203211300001300
5200403003234142
65411132014000
7616326313155
oct134345600160
935022284860
1012408258672
115298158437
1224a3601300
1312299081c4
14859d3222c
154c951614c
hex2e3970070

12408258672 has 80 divisors (see below), whose sum is σ = 35872704000. Its totient is φ = 4106310336.

The previous prime is 12408258631. The next prime is 12408258727. The reversal of 12408258672 is 27685280421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43272 + ... + 163367.

It is an arithmetic number, because the mean of its divisors is an integer number (448408800).

Almost surely, 212408258672 is an apocalyptic number.

12408258672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12408258672 is an abundant number, since it is smaller than the sum of its proper divisors (23464445328).

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

12408258672 is a wasteful number, since it uses less digits than its factorization.

12408258672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206795 (or 206783 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12408258672 in words is "twelve billion, four hundred eight million, two hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 556 834 1112 1251 1668 2224 2502 3336 3753 5004 6672 7506 10008 15012 20016 30024 60048 206639 413278 619917 826556 1239834 1653112 1859751 2479668 3306224 3719502 4959336 5579253 7439004 9918672 11158506 14878008 22317012 28722821 29756016 44634024 57445642 86168463 89268048 114891284 172336926 229782568 258505389 344673852 459565136 517010778 689347704 775516167 1034021556 1378695408 1551032334 2068043112 3102064668 4136086224 6204129336 12408258672