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12182130989280 = 253457413275189
BaseRepresentation
bin1011000101000101111110…
…0101110001100011100000
31121010121012122122222210000
42301101133211301203200
53044043001013124110
641524221013140000
72365062363615240
oct261213745614340
947117178588700
1012182130989280
11397745a3a084a
121448b8b02a600
136a4a01982325
1430189280db20
15161d427631c0
hexb145f9718e0

12182130989280 has 480 divisors, whose sum is σ = 50333015113920. Its totient is φ = 2716571934720.

The previous prime is 12182130989263. The next prime is 12182130989317. The reversal of 12182130989280 is 8298903128121.

12182130989280 is a `hidden beast` number, since 1 + 2 + 182 + 1 + 309 + 89 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×121821309892802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2081926 + ... + 5357114.

It is an arithmetic number, because the mean of its divisors is an integer number (104860448154).

Almost surely, 212182130989280 is an apocalyptic number.

12182130989280 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 12182130989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25166507556960).

12182130989280 is an abundant number, since it is smaller than the sum of its proper divisors (38150884124640).

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

12182130989280 is a wasteful number, since it uses less digits than its factorization.

12182130989280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275264 (or 3275247 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 12182130989280 in words is "twelve trillion, one hundred eighty-two billion, one hundred thirty million, nine hundred eighty-nine thousand, two hundred eighty".