Search a number
-
+
121600 = 285219
BaseRepresentation
bin11101101100000000
320011210201
4131230000
512342400
62334544
71014343
oct355400
9204721
10121600
11833a6
125a454
134346b
143245a
152606a
hex1db00

121600 has 54 divisors (see below), whose sum is σ = 316820. Its totient is φ = 46080.

The previous prime is 121591. The next prime is 121607. The reversal of 121600 is 6121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121607) 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 5 ways as a sum of consecutive naturals, for example, 6391 + ... + 6409.

2121600 is an apocalyptic number.

121600 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 121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158410).

121600 is an abundant number, since it is smaller than the sum of its proper divisors (195220).

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

121600 is an equidigital number, since it uses as much as digits as its factorization.

121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121600 is about 348.7119154833. The cubic root of 121600 is about 49.5424931852.

Adding to 121600 its reverse (6121), we get a palindrome (127721).

The spelling of 121600 in words is "one hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3800 4864 6080 6400 7600 12160 15200 24320 30400 60800 121600