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12114222441424 = 242675812829569
BaseRepresentation
bin1011000001001000111111…
…1011001110001111010000
31120220002220222202022212221
42300102033323032033100
53041434411421111144
641433110313230424
72360136503521555
oct260221773161720
946802828668787
1012114222441424
113950681829724
121437998702414
1369b49b921c2c
142dc48d89aa2c
151601baa7bd84
hexb048fece3d0

12114222441424 has 20 divisors (see below), whose sum is σ = 23471401991940. Its totient is φ = 6057086443520.

The previous prime is 12114222441421. The next prime is 12114222441463. The reversal of 12114222441424 is 42414422241121.

12114222441424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2268433601424 + 9845788840000 = 1506132^2 + 3137800^2 .

It is a super-3 number, since 3×121142224414243 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12114222441424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114222441421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2866512 + ... + 5696080.

It is an arithmetic number, because the mean of its divisors is an integer number (1173570099597).

Almost surely, 212114222441424 is an apocalyptic number.

It is an amenable number.

12114222441424 is a deficient number, since it is larger than the sum of its proper divisors (11357179550516).

12114222441424 is a wasteful number, since it uses less digits than its factorization.

12114222441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097158 (or 3097152 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

Adding to 12114222441424 its reverse (42414422241121), we get a palindrome (54528644682545).

The spelling of 12114222441424 in words is "twelve trillion, one hundred fourteen billion, two hundred twenty-two million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 267581 535162 1070324 2140648 2829569 4281296 5659138 11318276 22636552 45273104 757138902589 1514277805178 3028555610356 6057111220712 12114222441424