12102912 has 144 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 3760128.

The previous prime is 12102887. The next prime is 12102917. The reversal of 12102912 is 21920121.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117453 + ... + 117555.

It is an arithmetic number, because the mean of its divisors is an integer number (265720).

Almost surely, 2^12102912 is an apocalyptic number.

12102912 is a gapful number since it is divisible by the number (12) 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 12102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19131840).

12102912 is an abundant number, since it is smaller than the sum of its proper divisors (26160768).

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

12102912 is a wasteful number, since it uses less digits than its factorization.

12102912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 12102912 is about 3478.9239715751. The cubic root of 12102912 is about 229.5954577482.

The spelling of 12102912 in words is "twelve million, one hundred two thousand, nine hundred twelve".