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12520200 = 23352711271
BaseRepresentation
bin101111110000…
…101100001000
3212120002111010
4233300230020
511201121300
61124203520
7211264020
oct57605410
925502433
1012520200
117081680
1242395a0
132794a04
14193ca80
151174a50
hexbf0b08

12520200 has 192 divisors, whose sum is σ = 48568320. Its totient is φ = 2592000.

The previous prime is 12520169. The next prime is 12520201. The reversal of 12520200 is 202521.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12520201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46065 + ... + 46335.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 212520200 is an apocalyptic number.

12520200 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 12520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

12520200 is an abundant number, since it is smaller than the sum of its proper divisors (36048120).

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

12520200 is a wasteful number, since it uses less digits than its factorization.

12520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12520200 is about 3538.3894641489. The cubic root of 12520200 is about 232.2043878597.

Adding to 12520200 its reverse (202521), we get a palindrome (12722721).

It can be divided in two parts, 12520 and 200, that added together give a triangular number (12720 = T159).

The spelling of 12520200 in words is "twelve million, five hundred twenty thousand, two hundred".