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121325345020 = 225115913768227
BaseRepresentation
bin111000011111110001…
…1011101100011111100
3102121011101001010002001
41300333203131203330
53441433242020040
6131422555112044
711523361263025
oct1607743354374
9377141033061
10121325345020
11474a9aa3490
121b61b742624
13b5969575a9
145c2d383c4c
15325150059a
hex1c3f8dd8fc

121325345020 has 96 divisors (see below), whose sum is σ = 284723631360. Its totient is φ = 43053335040.

The previous prime is 121325344969. The next prime is 121325345021. The reversal of 121325345020 is 20543523121.

It is a self number, because there is not a number n which added to its sum of digits gives 121325345020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121325345021) 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, 1744147 + ... + 1812373.

It is an arithmetic number, because the mean of its divisors is an integer number (2965871160).

Almost surely, 2121325345020 is an apocalyptic number.

121325345020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121325345020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142361815680).

121325345020 is an abundant number, since it is smaller than the sum of its proper divisors (163398286340).

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

121325345020 is a wasteful number, since it uses less digits than its factorization.

121325345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68443 (or 68441 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 121325345020 its reverse (20543523121), we get a palindrome (141868868141).

The spelling of 121325345020 in words is "one hundred twenty-one billion, three hundred twenty-five million, three hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 137 220 236 274 295 548 590 649 685 1180 1298 1370 1507 2596 2740 3014 3245 6028 6490 7535 8083 12980 15070 16166 30140 32332 40415 68227 80830 88913 136454 161660 177826 272908 341135 355652 444565 682270 750497 889130 1364540 1500994 1778260 3001988 3752485 4025393 7504970 8050786 9347099 15009940 16101572 18694198 20126965 37388396 40253930 44279323 46735495 80507860 88558646 93470990 102818089 177117292 186941980 205636178 221396615 411272356 442793230 514090445 551478841 885586460 1028180890 1102957682 2056361780 2205915364 2757394205 5514788410 6066267251 11029576820 12132534502 24265069004 30331336255 60662672510 121325345020