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12120144120405 = 325269336536009
BaseRepresentation
bin1011000001011111000011…
…1000101000101001010101
31120220200012200102210022200
42300113300320220221111
53042034023343323110
641435530051315113
72360436320126016
oct260276070505125
946820180383280
1012120144120405
1139531404257a2
121438b6b8aba99
1369bc036c78a9
142dc89211d00d
151604158936c0
hexb05f0e28a55

12120144120405 has 12 divisors (see below), whose sum is σ = 21008249808780. Its totient is φ = 6464076864192.

The previous prime is 12120144120391. The next prime is 12120144120443. The reversal of 12120144120405 is 50402144102121.

12120144120405 is a `hidden beast` number, since 1 + 2 + 1 + 201 + 4 + 412 + 0 + 40 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1220578620804 + 10899565499601 = 1104798^2 + 3301449^2 .

It is not a de Polignac number, because 12120144120405 - 26 = 12120144120341 is a prime.

It is a super-2 number, since 2×121201441204052 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134668267960 + ... + 134668268049.

It is an arithmetic number, because the mean of its divisors is an integer number (1750687484065).

Almost surely, 212120144120405 is an apocalyptic number.

12120144120405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12120144120405 is a deficient number, since it is larger than the sum of its proper divisors (8888105688375).

12120144120405 is a wasteful number, since it uses less digits than its factorization.

12120144120405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269336536020 (or 269336536017 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12120144120405 its reverse (50402144102121), we get a palindrome (62522288222526).

The spelling of 12120144120405 in words is "twelve trillion, one hundred twenty billion, one hundred forty-four million, one hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 269336536009 808009608027 1346682680045 2424028824081 4040048040135 12120144120405