12151008 has 72 divisors (see below), whose sum is σ = 35695296. Its totient is φ = 3916800.

The previous prime is 12150989. The next prime is 12151019. The reversal of 12151008 is 80015121.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8248 + ... + 9608.

It is an arithmetic number, because the mean of its divisors is an integer number (495768).

Almost surely, 2^12151008 is an apocalyptic number.

12151008 is a gapful number since it is divisible by the number (18) 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 12151008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847648).

12151008 is an abundant number, since it is smaller than the sum of its proper divisors (23544288).

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

12151008 is a wasteful number, since it uses less digits than its factorization.

12151008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 12151008 is about 3485.8295999661. The cubic root of 12151008 is about 229.8991870724.

Adding to 12151008 its reverse (80015121), we get a palindrome (92166129).

The spelling of 12151008 in words is "twelve million, one hundred fifty-one thousand, eight".