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121338 = 2347107
BaseRepresentation
bin11101100111111010
320011110000
4131213322
512340323
62333430
71013520
oct354772
9204400
10121338
1183188
125a276
13432c9
1432310
1525e43
hex1d9fa

121338 has 40 divisors (see below), whose sum is σ = 313632. Its totient is φ = 34344.

The previous prime is 121333. The next prime is 121343. The reversal of 121338 is 833121.

It is an interprime number because it is at equal distance from previous prime (121333) and next prime (121343).

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

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 121338.

It is not an unprimeable number, because it can be changed into a prime (121333) by changing a digit.

121338 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 19 ways as a sum of consecutive naturals, for example, 1081 + ... + 1187.

2121338 is an apocalyptic number.

121338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816).

121338 is an abundant number, since it is smaller than the sum of its proper divisors (192294).

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

121338 is a wasteful number, since it uses less digits than its factorization.

121338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121338 is about 348.3360446465. The cubic root of 121338 is about 49.5068860944.

Adding to 121338 its reverse (833121), we get a palindrome (954459).

The spelling of 121338 in words is "one hundred twenty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 107 126 162 189 214 321 378 567 642 749 963 1134 1498 1926 2247 2889 4494 5778 6741 8667 13482 17334 20223 40446 60669 121338