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121856 = 210717
BaseRepresentation
bin11101110000000000
320012011012
4131300000
512344411
62340052
71015160
oct356000
9205135
10121856
1183609
125a628
1343607
14325a0
152618b
hex1dc00

121856 has 44 divisors (see below), whose sum is σ = 294768. Its totient is φ = 49152.

The previous prime is 121853. The next prime is 121867. The reversal of 121856 is 658121.

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7160 + ... + 7176.

2121856 is an apocalyptic number.

121856 is a gapful number since it is divisible by the number (16) 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 121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147384).

121856 is an abundant number, since it is smaller than the sum of its proper divisors (172912).

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

121856 is an equidigital number, since it uses as much as digits as its factorization.

121856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 26 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 121856 is about 349.0787876683. The cubic root of 121856 is about 49.5772354779.

Adding to 121856 its reverse (658121), we get a palindrome (779977).

The spelling of 121856 in words is "one hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1024 1088 1792 1904 2176 3584 3808 4352 7168 7616 8704 15232 17408 30464 60928 121856