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12201000 = 233537283
BaseRepresentation
bin101110100010…
…110000101000
3211221212121220
4232202300220
511110413000
61113302040
7205464300
oct56426050
924855556
1012201000
116983879
124104920
1326b2636
141898600
1511101a0
hexba2c28

12201000 has 192 divisors, whose sum is σ = 44815680. Its totient is φ = 2755200.

The previous prime is 12200989. The next prime is 12201041. The reversal of 12201000 is 10221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12201000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146959 + ... + 147041.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 212201000 is an apocalyptic number.

12201000 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 12201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

12201000 is an abundant number, since it is smaller than the sum of its proper divisors (32614680).

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

12201000 is a wasteful number, since it uses less digits than its factorization.

12201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12201000 is about 3492.9929859649. The cubic root of 12201000 is about 230.2140414538.

Adding to 12201000 its reverse (10221), we get a palindrome (12211221).

The spelling of 12201000 in words is "twelve million, two hundred one thousand".