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12120054912 = 273272951827
BaseRepresentation
bin10110100100110100…
…10101110010000000
31011021200000120201200
423102122111302000
5144310213224122
65322354501200
7606226524030
oct132232256200
934250016650
1012120054912
11515a500709
122422b94800
1311b1caa734
1482d94d8c0
154ae0875ac
hex2d2695c80

12120054912 has 192 divisors, whose sum is σ = 41234356800. Its totient is φ = 3343398912.

The previous prime is 12120054901. The next prime is 12120054967. The reversal of 12120054912 is 21945002121.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207943 + ... + 259769.

It is an arithmetic number, because the mean of its divisors is an integer number (214762275).

Almost surely, 212120054912 is an apocalyptic number.

12120054912 is a gapful number since it is divisible by the number (12) 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 12120054912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20617178400).

12120054912 is an abundant number, since it is smaller than the sum of its proper divisors (29114301888).

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

12120054912 is a wasteful number, since it uses less digits than its factorization.

12120054912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51883 (or 51868 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12120054912 in words is "twelve billion, one hundred twenty million, fifty-four thousand, nine hundred twelve".