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12063193440480 = 25355713191391291
BaseRepresentation
bin1010111110001010111001…
…0111000010000011100000
31120201020012200200111100000
42233202232113002003200
53040120410010043410
641353430552500000
72353352115260220
oct257425627020340
946636180614300
1012063193440480
113930a76234a76
121429b170aa600
1369672892ca10
142d9c0c630080
1515dbd0bc7dc0
hexaf8ae5c20e0

12063193440480 has 2304 divisors, whose sum is σ = 55748315750400. Its totient is φ = 2392041922560.

The previous prime is 12063193440469. The next prime is 12063193440503. The reversal of 12063193440480 is 8404439136021.

12063193440480 is a `hidden beast` number, since 1 + 2 + 0 + 631 + 9 + 3 + 4 + 4 + 0 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×120631934404803 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9344068635 + ... + 9344069925.

It is an arithmetic number, because the mean of its divisors is an integer number (24196317600).

Almost surely, 212063193440480 is an apocalyptic number.

12063193440480 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 12063193440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27874157875200).

12063193440480 is an abundant number, since it is smaller than the sum of its proper divisors (43685122309920).

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

12063193440480 is a wasteful number, since it uses less digits than its factorization.

12063193440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12063193440480 in words is "twelve trillion, sixty-three billion, one hundred ninety-three million, four hundred forty thousand, four hundred eighty".