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12127085537 = 724170910139
BaseRepresentation
bin10110100101101010…
…01010001111100001
31011022011020202221012
423102311022033201
5144314013214122
65323205310305
7606343345340
oct132265121741
934264222835
1012127085537
115163472946
122425405395
1311b359c878
1483085db57
154ae9c57e2
hex2d2d4a3e1

12127085537 has 16 divisors (see below), whose sum is σ = 13938038400. Its totient is φ = 10335893760.

The previous prime is 12127085489. The next prime is 12127085567. The reversal of 12127085537 is 73558072121.

12127085537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12127085537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12127085494 and 12127085503.

It is not an unprimeable number, because it can be changed into a prime (12127085567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191014 + ... + 1201152.

It is an arithmetic number, because the mean of its divisors is an integer number (871127400).

Almost surely, 212127085537 is an apocalyptic number.

It is an amenable number.

12127085537 is a deficient number, since it is larger than the sum of its proper divisors (1810952863).

12127085537 is a wasteful number, since it uses less digits than its factorization.

12127085537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11096.

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 12127085537 in words is "twelve billion, one hundred twenty-seven million, eighty-five thousand, five hundred thirty-seven".

Divisors: 1 7 241 709 1687 4963 10139 70973 170869 1196083 2443499 7188551 17104493 50319857 1732440791 12127085537