Search a number
-
+
124001122241412 = 223213264959662909
BaseRepresentation
bin11100001100011101000010…
…110101111100101110000100
3121021001101120102011111200100
4130030131002311330232010
5112223113244243211122
61115421155032244100
735055533256116163
oct3414350265745604
9537041512144610
10124001122241412
1136568642891419
1211aa82b8b40630
135426342892780
14228998745b3da
15e50848ddbaac
hex70c742d7cb84

124001122241412 has 36 divisors (see below), whose sum is σ = 337558610547340. Its totient is φ = 38154191458752.

The previous prime is 124001122241407. The next prime is 124001122241441. The reversal of 124001122241412 is 214142221100421.

124001122241412 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 1 + 1 + 2 + 2 + 241 + 412 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71239406838336 + 52761715403076 = 8440344^2 + 7263726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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, 132479830987 + ... + 132479831922.

Almost surely, 2124001122241412 is an apocalyptic number.

124001122241412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124001122241412 is an abundant number, since it is smaller than the sum of its proper divisors (213557488305928).

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

124001122241412 is a wasteful number, since it uses less digits than its factorization.

124001122241412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264959662932 (or 264959662927 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 124001122241412 its reverse (214142221100421), we get a palindrome (338143343341833).

The spelling of 124001122241412 in words is "one hundred twenty-four trillion, one billion, one hundred twenty-two million, two hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 264959662909 529919325818 794878988727 1059838651636 1589757977454 2384636966181 3179515954908 3444475617817 4769273932362 6888951235634 9538547864724 10333426853451 13777902471268 20666853706902 31000280560353 41333707413804 62000561120706 124001122241412