Search a number
-
+
12200128 = 261979127
BaseRepresentation
bin101110100010…
…100011000000
3211221211102121
4232202203000
511110401003
61113254024
7205461613
oct56424300
924854377
1012200128
116983156
124104314
1326b2115
14189817a
15110ecbd
hexba28c0

12200128 has 56 divisors (see below), whose sum is σ = 26009600. Its totient is φ = 5660928.

The previous prime is 12200117. The next prime is 12200129. The reversal of 12200128 is 82100221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12200129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96001 + ... + 96127.

Almost surely, 212200128 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 12200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004800).

12200128 is an abundant number, since it is smaller than the sum of its proper divisors (13809472).

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

12200128 is a wasteful number, since it uses less digits than its factorization.

12200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 12200128 is about 3492.8681624132. The cubic root of 12200128 is about 230.2085568916.

Adding to 12200128 its reverse (82100221), we get a palindrome (94300349).

The spelling of 12200128 in words is "twelve million, two hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 79 127 152 158 254 304 316 508 608 632 1016 1216 1264 1501 2032 2413 2528 3002 4064 4826 5056 6004 8128 9652 10033 12008 19304 20066 24016 38608 40132 48032 77216 80264 96064 154432 160528 190627 321056 381254 642112 762508 1525016 3050032 6100064 12200128