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12424125870520 = 235713171276132579
BaseRepresentation
bin1011010011001011011110…
…0110111111000110111000
31121222201211200201200101021
42310302313212333012320
53112024102210324040
642231321543232224
72421420264305320
oct264626746770670
947881750650337
1012424125870520
113a60051180871
121487a66748674
136c1789428250
1430d48bdc4280
151682a78c024a
hexb4cb79bf1b8

12424125870520 has 512 divisors, whose sum is σ = 36790109798400. Its totient is φ = 3664184573952.

The previous prime is 12424125870491. The next prime is 12424125870529. The reversal of 12424125870520 is 2507852142421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424125870529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4817418591 + ... + 4817421169.

It is an arithmetic number, because the mean of its divisors is an integer number (71855683200).

Almost surely, 212424125870520 is an apocalyptic number.

12424125870520 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 12424125870520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395054899200).

12424125870520 is an abundant number, since it is smaller than the sum of its proper divisors (24365983927880).

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

12424125870520 is a wasteful number, since it uses less digits than its factorization.

12424125870520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 12424125870520 in words is "twelve trillion, four hundred twenty-four billion, one hundred twenty-five million, eight hundred seventy thousand, five hundred twenty".