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12013200 = 2432524771
BaseRepresentation
bin101101110100…
…111010010000
3211121100000100
4231310322100
511033410300
61105252400
7204052623
oct55647220
924540010
1012013200
116865771
124034100
132648004
141849dba
1510c4700
hexb74e90

12013200 has 180 divisors, whose sum is σ = 43175808. Its totient is φ = 3091200.

The previous prime is 12013189. The next prime is 12013201. The reversal of 12013200 is 231021.

It is a happy number.

12013200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12013201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169165 + ... + 169235.

Almost surely, 212013200 is an apocalyptic number.

12013200 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 12013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

12013200 is an abundant number, since it is smaller than the sum of its proper divisors (31162608).

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

12013200 is a wasteful number, since it uses less digits than its factorization.

12013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12013200 is about 3466.0063473687. The cubic root of 12013200 is about 229.0267634605.

Adding to 12013200 its reverse (231021), we get a palindrome (12244221).

The spelling of 12013200 in words is "twelve million, thirteen thousand, two hundred".