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12382927790880 = 2535137829227147
BaseRepresentation
bin1011010000110010000000…
…0000110010001100100000
31121211210111112021101120210
42310030200000302030200
53110340214003302010
642200345525334120
72415431331355053
oct264144000621440
947753445241523
1012382927790880
113a4462aa08869
12147ba89567340
136ba9220a462a
1430b4a0666a9a
15167195b2bb20
hexb4320032320

12382927790880 has 192 divisors, whose sum is σ = 39338508263040. Its totient is φ = 3274042466304.

The previous prime is 12382927790867. The next prime is 12382927790897. The reversal of 12382927790880 is 8809772928321.

It is a super-2 number, since 2×123829277908802 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54401467 + ... + 54628613.

It is an arithmetic number, because the mean of its divisors is an integer number (204888063870).

Almost surely, 212382927790880 is an apocalyptic number.

12382927790880 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 12382927790880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669254131520).

12382927790880 is an abundant number, since it is smaller than the sum of its proper divisors (26955580472160).

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

12382927790880 is a wasteful number, since it uses less digits than its factorization.

12382927790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228131 (or 228123 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 12382927790880 in words is "twelve trillion, three hundred eighty-two billion, nine hundred twenty-seven million, seven hundred ninety thousand, eight hundred eighty".