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12114122111401 = 294144322998863
BaseRepresentation
bin1011000001001000100111…
…1100011111100110101001
31120220002122222222000222011
42300102021330133212221
53041434210230031101
641433052330555521
72360134144653322
oct260221174374651
946802588860864
1012114122111401
113950630132252
12143796ab98ba1
1369b483bc415b
142dc480421449
151601b1d5e751
hexb0489f1f9a9

12114122111401 has 16 divisors (see below), whose sum is σ = 12866484476160. Its totient is φ = 11385356644480.

The previous prime is 12114122111387. The next prime is 12114122111407. The reversal of 12114122111401 is 10411122141121.

12114122111401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12114122111401 - 233 = 12105532176809 is a prime.

It is a super-3 number, since 3×121141221114013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12114122111407) 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, 10972705 + ... + 12026158.

It is an arithmetic number, because the mean of its divisors is an integer number (804155279760).

Almost surely, 212114122111401 is an apocalyptic number.

It is an amenable number.

12114122111401 is a deficient number, since it is larger than the sum of its proper divisors (752362364759).

12114122111401 is a wasteful number, since it uses less digits than its factorization.

12114122111401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22999376.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 12114122111401 its reverse (10411122141121), we get a palindrome (22525244252522).

The spelling of 12114122111401 in words is "twelve trillion, one hundred fourteen billion, one hundred twenty-two million, one hundred eleven thousand, four hundred one".

Divisors: 1 29 41 443 1189 12847 18163 526727 22998863 666967027 942953383 10188496309 27345648107 295466392961 417728348669 12114122111401