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12228698513920 = 29575346327809
BaseRepresentation
bin1011000111110011011100…
…1110110010001000000000
31121022001102000200100101211
42301330313032302020000
53100323333304421140
642001441520535504
72401331356215220
oct261746716621000
947261360610354
1012228698513920
1139951865672a9
121456006481594
136a9213568635
14303c2d31c080
1516316aad82ea
hexb1f373b2200

12228698513920 has 320 divisors, whose sum is σ = 34216028605440. Its totient is φ = 4104556904448.

The previous prime is 12228698513881. The next prime is 12228698513989. The reversal of 12228698513920 is 2931589682221.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439724976 + ... + 439752784.

It is an arithmetic number, because the mean of its divisors is an integer number (106925089392).

Almost surely, 212228698513920 is an apocalyptic number.

12228698513920 is a gapful number since it is divisible by the number (10) 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 12228698513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108014302720).

12228698513920 is an abundant number, since it is smaller than the sum of its proper divisors (21987330091520).

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

12228698513920 is an equidigital number, since it uses as much as digits as its factorization.

12228698513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28355 (or 28339 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 12228698513920 in words is "twelve trillion, two hundred twenty-eight billion, six hundred ninety-eight million, five hundred thirteen thousand, nine hundred twenty".