Search a number
-
+
121271220 = 223257109883
BaseRepresentation
bin1110011101001…
…11001110110100
322110012012211200
413032213032310
5222021134340
620011132500
73001534260
oct716471664
9273165750
10121271220
11624aa954
1234744130
131c180725
141216b0a0
15a9a7330
hex73a73b4

121271220 has 144 divisors (see below), whose sum is σ = 424744320. Its totient is φ = 27433728.

The previous prime is 121271219. The next prime is 121271257. The reversal of 121271220 is 22172121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121271193 and 121271202.

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, 136899 + ... + 137781.

Almost surely, 2121271220 is an apocalyptic number.

121271220 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 121271220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212372160).

121271220 is an abundant number, since it is smaller than the sum of its proper divisors (303473100).

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

121271220 is a wasteful number, since it uses less digits than its factorization.

121271220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121271220 is about 11012.3212811832. The cubic root of 121271220 is about 494.9780216749.

Subtracting from 121271220 its reverse (22172121), we obtain a palindrome (99099099).

The spelling of 121271220 in words is "one hundred twenty-one million, two hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 883 981 1090 1260 1308 1526 1635 1766 1962 2180 2289 2649 3052 3270 3532 3815 3924 4415 4578 4905 5298 6181 6540 6867 7630 7947 8830 9156 9810 10596 11445 12362 13245 13734 15260 15894 17660 18543 19620 22890 24724 26490 27468 30905 31788 34335 37086 39735 45780 52980 55629 61810 68670 74172 79470 92715 96247 111258 123620 137340 158940 185430 192494 222516 278145 288741 370860 384988 481235 556290 577482 673729 866223 962470 1112580 1154964 1347458 1443705 1732446 1924940 2021187 2694916 2887410 3368645 3464892 4042374 4331115 5774820 6063561 6737290 8084748 8662230 10105935 12127122 13474580 17324460 20211870 24254244 30317805 40423740 60635610 121271220