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12934041120 = 2534571113997
BaseRepresentation
bin11000000101110110…
…11100111000100000
31020101101200100220000
430002323130320200
5202442103303440
65535233220000
7635342351460
oct140273347040
936341610800
1012934041120
115537a24590
12260b701600
1312b1819690
148a9ab9ba0
1550a773730
hex302edce20

12934041120 has 960 divisors, whose sum is σ = 61348928256. Its totient is φ = 2478366720.

The previous prime is 12934041073. The next prime is 12934041157. The reversal of 12934041120 is 2114043921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972462 + ... + 12973458.

Almost surely, 212934041120 is an apocalyptic number.

12934041120 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 12934041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30674464128).

12934041120 is an abundant number, since it is smaller than the sum of its proper divisors (48414887136).

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

12934041120 is a wasteful number, since it uses less digits than its factorization.

12934041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12934041120 in words is "twelve billion, nine hundred thirty-four million, forty-one thousand, one hundred twenty".