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121220 = 225111929
BaseRepresentation
bin11101100110000100
320011021122
4131212010
512334340
62333112
71013261
oct354604
9204248
10121220
1183090
125a198
1343238
1432268
1525db5
hex1d984

121220 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 40320.

The previous prime is 121189. The next prime is 121229. The reversal of 121220 is 22121.

It is a junction number, because it is equal to n+sod(n) for n = 121198 and 121207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121229) by changing a digit.

121220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4166 + ... + 4194.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2121220 is an apocalyptic number.

121220 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 121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

121220 is an abundant number, since it is smaller than the sum of its proper divisors (181180).

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

121220 is a wasteful number, since it uses less digits than its factorization.

121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 121220 is about 348.1666267752. The cubic root of 121220 is about 49.4908325709.

Adding to 121220 its reverse (22121), we get a palindrome (143341).

Subtracting from 121220 its reverse (22121), we obtain a palindrome (99099).

The spelling of 121220 in words is "one hundred twenty-one thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 19 20 22 29 38 44 55 58 76 95 110 116 145 190 209 220 290 319 380 418 551 580 638 836 1045 1102 1276 1595 2090 2204 2755 3190 4180 5510 6061 6380 11020 12122 24244 30305 60610 121220