12152000 has 168 divisors, whose sum is σ = 36137088. Its totient is φ = 4032000.

The previous prime is 12151987. The next prime is 12152009. The reversal of 12152000 is 25121.

It is a super-2 number, since 2×12152000² = 295342208000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12152009) 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 23 ways as a sum of consecutive naturals, for example, 391985 + ... + 392015.

Almost surely, 2^12152000 is an apocalyptic number.

12152000 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 12152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

12152000 is an abundant number, since it is smaller than the sum of its proper divisors (23985088).

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

12152000 is an equidigital number, since it uses as much as digits as its factorization.

12152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 12152000 is about 3485.9718874368. The cubic root of 12152000 is about 229.9054431730.

Adding to 12152000 its reverse (25121), we get a palindrome (12177121).

The spelling of 12152000 in words is "twelve million, one hundred fifty-two thousand".