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121216 = 27947
BaseRepresentation
bin11101100110000000
320011021111
4131212000
512334331
62333104
71013254
oct354600
9204244
10121216
1183087
125a194
1343234
1432264
1525db1
hex1d980

121216 has 16 divisors (see below), whose sum is σ = 241740. Its totient is φ = 60544.

The previous prime is 121189. The next prime is 121229. The reversal of 121216 is 612121.

Adding to 121216 its reverse (612121), we get a palindrome (733337).

121216 is nontrivially palindromic in base 13.

121216 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (16).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 121196 and 121205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 346 + ... + 601.

2121216 is an apocalyptic number.

121216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121216 is a deficient number, since it is larger than the sum of its proper divisors (120524).

121216 is an frugal number, since it uses more digits than its factorization.

121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 121216 is about 348.1608823518. The cubic root of 121216 is about 49.4902882011.

The spelling of 121216 in words is "one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 947 1894 3788 7576 15152 30304 60608 121216