12151200 has 144 divisors (see below), whose sum is σ = 40684896. Its totient is φ = 3148800.

The previous prime is 12151189. The next prime is 12151231. The reversal of 12151200 is 215121.

It is a super-2 number, since 2×12151200² = 295303322880000, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 146359 + ... + 146441.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 2^12151200 is an apocalyptic number.

12151200 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 12151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342448).

12151200 is an abundant number, since it is smaller than the sum of its proper divisors (28533696).

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

12151200 is a wasteful number, since it uses less digits than its factorization.

12151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12151200 is about 3485.8571399299. The cubic root of 12151200 is about 229.9003979571.

Adding to 12151200 its reverse (215121), we get a palindrome (12366321).

It can be divided in two parts, 1215 and 1200, that added together give a triangular number (2415 = T₆₉).

The spelling of 12151200 in words is "twelve million, one hundred fifty-one thousand, two hundred".