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BaseRepresentation
bin11101110000100000
320012012101
4131300200
512400023
62340144
71015234
oct356040
9205171
10121888
1183638
125a654
1343630
14325c4
hex1dc20

121888 has 24 divisors (see below), whose sum is σ = 259308. Its totient is φ = 56064.

The previous prime is 121883. The next prime is 121889. The reversal of 121888 is 888121.

121888 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 784 = 348^2 + 28^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121883) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 270 + ... + 562.

2121888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129654).

121888 is an abundant number, since it is smaller than the sum of its proper divisors (137420).

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

121888 is a wasteful number, since it uses less digits than its factorization.

121888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 1024, while the sum is 28.

The square root of 121888 is about 349.1246195845. The cubic root of 121888 is about 49.5815748421.

The spelling of 121888 in words is "one hundred twenty-one thousand, eight hundred eighty-eight".