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12432411106122 = 2371943335980283
BaseRepresentation
bin1011010011101010010101…
…1100101001101101001010
31122000112020002212020222010
42310322211130221231022
53112143034220343442
642235212032440350
72422132510533210
oct264724534515512
948015202766863
1012432411106122
113a63612a58a17
1214895993a90b6
136c24a9a99b17
1430da364dacb0
151685dee5eb9c
hexb4ea5729b4a

12432411106122 has 64 divisors (see below), whose sum is σ = 29981651051520. Its totient is φ = 3357392073984.

The previous prime is 12432411106109. The next prime is 12432411106123. The reversal of 12432411106122 is 22160111423421.

It is a self number, because there is not a number n which added to its sum of digits gives 12432411106122.

It is not an unprimeable number, because it can be changed into a prime (12432411106123) 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 31 ways as a sum of consecutive naturals, for example, 17644608 + ... + 18335675.

It is an arithmetic number, because the mean of its divisors is an integer number (468463297680).

Almost surely, 212432411106122 is an apocalyptic number.

12432411106122 is an abundant number, since it is smaller than the sum of its proper divisors (17549239945398).

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

12432411106122 is a wasteful number, since it uses less digits than its factorization.

12432411106122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35980747.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 12432411106122 its reverse (22160111423421), we get a palindrome (34592522529543).

The spelling of 12432411106122 in words is "twelve trillion, four hundred thirty-two billion, four hundred eleven million, one hundred six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 433 798 866 1299 2598 3031 6062 8227 9093 16454 18186 24681 49362 57589 115178 172767 345534 35980283 71960566 107940849 215881698 251861981 503723962 683625377 755585943 1367250754 1511171886 2050876131 4101752262 4785377639 9570755278 14356132917 15579462539 28712265834 31158925078 46738387617 93476775234 109056237773 218112475546 296009788241 327168713319 592019576482 654337426638 888029364723 1776058729446 2072068517687 4144137035374 6216205553061 12432411106122