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12116727744744 = 2337223385751599
BaseRepresentation
bin1011000001010010010101…
…0000001100100011101000
31120220100101120220220221210
42300110211100030203220
53042010024300312434
641434203050433120
72360255544326100
oct260244520144350
946810346826853
1012116727744744
113951747a25137
1214383777327a0
1369b7aa98a22c
142dc64a4cc200
151602b59a3ee9
hexb052540c8e8

12116727744744 has 192 divisors, whose sum is σ = 35430636384000. Its totient is φ = 3442975205376.

The previous prime is 12116727744707. The next prime is 12116727744761. The reversal of 12116727744744 is 44744772761121.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234799057 + ... + 234850655.

It is an arithmetic number, because the mean of its divisors is an integer number (184534564500).

Almost surely, 212116727744744 is an apocalyptic number.

12116727744744 is a gapful number since it is divisible by the number (14) 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 12116727744744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17715318192000).

12116727744744 is an abundant number, since it is smaller than the sum of its proper divisors (23313908639256).

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

12116727744744 is a wasteful number, since it uses less digits than its factorization.

12116727744744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52712 (or 52701 counting only the distinct ones).

The product of its digits is 14751744, while the sum is 57.

The spelling of 12116727744744 in words is "twelve trillion, one hundred sixteen billion, seven hundred twenty-seven million, seven hundred forty-four thousand, seven hundred forty-four".