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12848423040000 = 21033541076949
BaseRepresentation
bin1011101011111000000110…
…1100001111010000000000
31200111022000200201010222000
42322332001230033100000
53141002032244240000
643154252320144000
72464160620610202
oct272760154172000
950438020633860
1012848423040000
114103a92937219
12153613aa68000
137227a77ac242
14325c1d05a772
1517433c40a000
hexbaf81b0f400

12848423040000 has 880 divisors, whose sum is σ = 47999578968000. Its totient is φ = 3393736704000.

The previous prime is 12848423039983. The next prime is 12848423040017. The reversal of 12848423040000 is 4032484821.

12848423040000 is a `hidden beast` number, since 12 + 8 + 4 + 8 + 4 + 230 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12848423039983) and next prime (12848423040017).

It is a super-2 number, since 2×128484230400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 1848956526 + ... + 1848963474.

It is an arithmetic number, because the mean of its divisors is an integer number (54544976100).

Almost surely, 212848423040000 is an apocalyptic number.

12848423040000 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 12848423040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999789484000).

12848423040000 is an abundant number, since it is smaller than the sum of its proper divisors (35151155928000).

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

12848423040000 is an equidigital number, since it uses as much as digits as its factorization.

12848423040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7105 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 12848423040000 in words is "twelve trillion, eight hundred forty-eight billion, four hundred twenty-three million, forty thousand".