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12408388422420 = 2235411150305637
BaseRepresentation
bin1011010010010000110110…
…0101011000101100010100
31121221020012220221111002010
42310210031211120230110
53111244334414004140
642220200203144220
72420322301225404
oct264441545305424
947836186844063
1012408388422420
113a54405862111
1214849b4215070
136c014bb8a993
1430c7d7c78804
15167b85e8c880
hexb490d958b14

12408388422420 has 48 divisors (see below), whose sum is σ = 34751939620608. Its totient is φ = 3308098623360.

The previous prime is 12408388422407. The next prime is 12408388422481. The reversal of 12408388422420 is 2422488380421.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12408388422420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24906159 + ... + 25399478.

It is an arithmetic number, because the mean of its divisors is an integer number (723998742096).

Almost surely, 212408388422420 is an apocalyptic number.

12408388422420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12408388422420 is an abundant number, since it is smaller than the sum of its proper divisors (22343551198188).

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

12408388422420 is a wasteful number, since it uses less digits than its factorization.

12408388422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50309760 (or 50309758 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 12408388422420 in words is "twelve trillion, four hundred eight billion, three hundred eighty-eight million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4111 8222 12333 16444 20555 24666 41110 49332 61665 82220 123330 246660 50305637 100611274 150916911 201222548 251528185 301833822 503056370 603667644 754584555 1006112740 1509169110 3018338220 206806473707 413612947414 620419421121 827225894828 1034032368535 1240838842242 2068064737070 2481677684484 3102097105605 4136129474140 6204194211210 12408388422420