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121220220 = 223511259283
BaseRepresentation
bin1110011100110…
…10110001111100
322110002121212210
413032122301330
5222013021340
620010100420
73001232502
oct716326174
9273077783
10121220220
1162475600
123471a710
131c163454
1412156672
15a997180
hex739ac7c

121220220 has 144 divisors (see below), whose sum is σ = 380741760. Its totient is φ = 28786560.

The previous prime is 121220213. The next prime is 121220243. The reversal of 121220220 is 22022121.

Adding to 121220220 its reverse (22022121), we get a palindrome (143242341).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121220196 and 121220205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428199 + ... + 428481.

It is an arithmetic number, because the mean of its divisors is an integer number (2644040).

Almost surely, 2121220220 is an apocalyptic number.

121220220 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 121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190370880).

121220220 is an abundant number, since it is smaller than the sum of its proper divisors (259521540).

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

121220220 is a wasteful number, since it uses less digits than its factorization.

121220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121220220 is about 11010.0054495899. The cubic root of 121220220 is about 494.9086251089.

The spelling of 121220220 in words is "one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 121 132 165 177 220 236 242 283 295 330 354 363 484 566 590 605 649 660 708 726 849 885 1132 1180 1210 1298 1415 1452 1698 1770 1815 1947 2420 2596 2830 3113 3245 3396 3540 3630 3894 4245 5660 6226 6490 7139 7260 7788 8490 9339 9735 12452 12980 14278 15565 16697 16980 18678 19470 21417 28556 31130 33394 34243 35695 37356 38940 42834 46695 50091 62260 66788 68486 71390 83485 85668 93390 100182 102729 107085 136972 142780 166970 171215 183667 186780 200364 205458 214170 250455 333940 342430 367334 410916 428340 500910 513645 551001 684860 734668 918335 1001820 1027290 1102002 1836670 2020337 2054580 2204004 2755005 3673340 4040674 5510010 6061011 8081348 10101685 11020020 12122022 20203370 24244044 30305055 40406740 60610110 121220220