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12065577556021 = 1110122434841777
BaseRepresentation
bin1010111110010011110001…
…1101101101100000110101
31120201110100211211010000121
42233210330131231200311
53040140300323243041
641354503320411541
72353465155025333
oct257447435554065
946643324733017
1012065577556021
113931a89a882a0
12142a481616bb1
13696a18846582
142d9d97116b53
1515dcc01627d1
hexaf93c76d835

12065577556021 has 16 divisors (see below), whose sum is σ = 13298698594368. Its totient is φ = 10855261792000.

The previous prime is 12065577556003. The next prime is 12065577556049.

It is a happy number.

12065577556021 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12065577556021 - 221 = 12065575458869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12065577556021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12065577556051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71085 + ... + 4912861.

It is an arithmetic number, because the mean of its divisors is an integer number (831168662148).

Almost surely, 212065577556021 is an apocalyptic number.

12065577556021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12065577556021 is a deficient number, since it is larger than the sum of its proper divisors (1233121038347).

12065577556021 is a wasteful number, since it uses less digits than its factorization.

12065577556021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844132.

The product of its (nonzero) digits is 4410000, while the sum is 52.

The spelling of 12065577556021 in words is "twelve trillion, sixty-five billion, five hundred seventy-seven million, five hundred fifty-six thousand, twenty-one".

Divisors: 1 11 101 1111 2243 24673 226543 2491973 4841777 53259547 489019477 5379214247 10860105811 119461163921 1096870686911 12065577556021