Search a number
-
+
12012113121232 = 247593719488791
BaseRepresentation
bin1010111011001100100110…
…1111000100111111010000
31120112100100211001102022011
42232303021233010333100
53033301301424334412
641314142200152304
72346563234600530
oct256631157047720
946470324042264
1012012113121232
11391134377a0a4
121420040468694
13691978110343
142d75646454c0
1515c6e15887a7
hexaecc9bc4fd0

12012113121232 has 80 divisors (see below), whose sum is σ = 27056396851200. Its totient is φ = 5059422276480.

The previous prime is 12012113121221. The next prime is 12012113121269. The reversal of 12012113121232 is 23212131121021.

It is a happy number.

It is a super-2 number, since 2×120121131212322 (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 15 ways as a sum of consecutive naturals, for example, 24330757 + ... + 24819547.

It is an arithmetic number, because the mean of its divisors is an integer number (338204960640).

Almost surely, 212012113121232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012113121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528198425600).

12012113121232 is an abundant number, since it is smaller than the sum of its proper divisors (15044283729968).

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

12012113121232 is a wasteful number, since it uses less digits than its factorization.

12012113121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492584 (or 492578 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12012113121232 its reverse (23212131121021), we get a palindrome (35224244242253).

The spelling of 12012113121232 in words is "twelve trillion, twelve billion, one hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 3719 6608 7438 14876 26033 29752 52066 59504 104132 208264 219421 416528 438842 488791 877684 977582 1535947 1755368 1955164 3071894 3421537 3510736 3910328 6143788 6843074 7820656 12287576 13686148 24575152 27372296 28838669 54744592 57677338 115354676 201870683 230709352 403741366 461418704 807482732 1614965464 1817813729 3229930928 3635627458 7271254916 12724696103 14542509832 25449392206 29085019664 50898784412 101797568824 107251010011 203595137648 214502020022 429004040044 750757070077 858008080088 1501514140154 1716016160176 3003028280308 6006056560616 12012113121232