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121201222120220 = 225119735449160217
BaseRepresentation
bin11011100011101101011011…
…110010100111001100011100
3120220010201112120010021200202
4123203231123302213030130
5111341230100330321340
61105435023415443032
734346333161555004
oct3343553362471434
9526121476107622
10121201222120220
11356891711a5310
1211715738086478
1352822c2c82328
1421d0255a05004
15e02ac679ac15
hex6e3b5bca731c

121201222120220 has 96 divisors (see below), whose sum is σ = 280533130315200. Its totient is φ = 43617306378240.

The previous prime is 121201222120163. The next prime is 121201222120229. The reversal of 121201222120220 is 22021222102121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121201222120192 and 121201222120201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201222120229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756401552 + ... + 756561768.

It is an arithmetic number, because the mean of its divisors is an integer number (2922220107450).

Almost surely, 2121201222120220 is an apocalyptic number.

121201222120220 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 121201222120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140266565157600).

121201222120220 is an abundant number, since it is smaller than the sum of its proper divisors (159331908194980).

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

121201222120220 is a wasteful number, since it uses less digits than its factorization.

121201222120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195783 (or 195781 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 121201222120220 its reverse (22021222102121), we get a palindrome (143222444222341).

The spelling of 121201222120220 in words is "one hundred twenty-one trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 21340 35449 70898 141796 160217 177245 320434 354490 389939 640868 708980 779878 801085 1559756 1602170 1762387 1949695 3204340 3438553 3524774 3899390 6877106 7049548 7798780 8811935 13754212 15541049 17192765 17623870 31082098 34385530 35247740 37824083 62164196 68771060 75648166 77705245 151296332 155410490 170951539 189120415 310820980 341903078 378240830 683806156 756481660 854757695 1709515390 3419030780 5679532433 11359064866 22718129732 28397662165 56795324330 62474856763 113590648660 124949713526 249899427052 312374283815 550914646001 624748567630 1101829292002 1249497135260 2203658584004 2754573230005 5509146460010 6060061106011 11018292920020 12120122212022 24240244424044 30300305530055 60600611060110 121201222120220