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20121312000041 = 722914159966221
BaseRepresentation
bin1001001001100110110111…
…01001110111100000101001
32122020120121211101121212022
410210303123221313200221
510114131421333000131
6110443334135154225
74144500604014200
oct444633351674051
978216554347768
1020121312000041
11645844507620a
12230b78a815975
13b2c57c248095
144d7c3b92a237
1524d6050ec37b
hex124cdba77829

20121312000041 has 12 divisors (see below), whose sum is σ = 24213542239620. Its totient is φ = 16652120274720.

The previous prime is 20121311999947. The next prime is 20121312000047. The reversal of 20121312000041 is 14000021312102.

It can be written as a sum of positive squares in 2 ways, for example, as 16611909244441 + 3509402755600 = 4075771^2 + 1873340^2 .

It is not a de Polignac number, because 20121312000041 - 218 = 20121311737897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20121311999983 and 20121312000019.

It is not an unprimeable number, because it can be changed into a prime (20121312000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7079981690 + ... + 7079984531.

It is an arithmetic number, because the mean of its divisors is an integer number (2017795186635).

Almost surely, 220121312000041 is an apocalyptic number.

It is an amenable number.

20121312000041 is a deficient number, since it is larger than the sum of its proper divisors (4092230239579).

20121312000041 is a wasteful number, since it uses less digits than its factorization.

20121312000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14159966264 (or 14159966257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20121312000041 its reverse (14000021312102), we get a palindrome (34121333312143).

The spelling of 20121312000041 in words is "twenty trillion, one hundred twenty-one billion, three hundred twelve million, forty-one", and thus it is an aban number.

Divisors: 1 7 29 49 203 1421 14159966221 99119763547 410639020409 693838344829 2874473142863 20121312000041