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12221421131120 = 2451774312094669
BaseRepresentation
bin1011000111011000010101…
…1101110001010101110000
31121021100121211222222221112
42301312011131301111300
53100213432302143440
641554235433212452
72400653131405565
oct261660535612560
947240554888845
1012221421131120
113992091686953
121454715261128
136a8623953376
1430373c9d886c
15162d91c7b965
hexb1d85771570

12221421131120 has 80 divisors (see below), whose sum is σ = 30126758639040. Its totient is φ = 4594812751872.

The previous prime is 12221421131093. The next prime is 12221421131149. The reversal of 12221421131120 is 2113112412221.

12221421131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5036855 + ... + 7057814.

It is an arithmetic number, because the mean of its divisors is an integer number (376584482988).

Almost surely, 212221421131120 is an apocalyptic number.

12221421131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221421131120 is an abundant number, since it is smaller than the sum of its proper divisors (17905337507920).

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

12221421131120 is a wasteful number, since it uses less digits than its factorization.

12221421131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095442 (or 12095436 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 12221421131120 its reverse (2113112412221), we get a palindrome (14334533543341).

The spelling of 12221421131120 in words is "twelve trillion, two hundred twenty-one billion, four hundred twenty-one million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 743 1360 1486 2972 3715 5944 7430 11888 12631 14860 25262 29720 50524 59440 63155 101048 126310 202096 252620 505240 1010480 12094669 24189338 48378676 60473345 96757352 120946690 193514704 205609373 241893380 411218746 483786760 822437492 967573520 1028046865 1644874984 2056093730 3289749968 4112187460 8224374920 8986339067 16448749840 17972678134 35945356268 44931695335 71890712536 89863390670 143781425072 152767764139 179726781340 305535528278 359453562680 611071056556 718907125360 763838820695 1222142113112 1527677641390 2444284226224 3055355282780 6110710565560 12221421131120