12098016 has 144 divisors (see below), whose sum is σ = 41749344. Its totient is φ = 3244032.

The previous prime is 12097991. The next prime is 12098027. The reversal of 12098016 is 61089021.

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

It is a super-2 number, since 2×12098016² = 292723982272512, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 34096 + ... + 34448.

It is an arithmetic number, because the mean of its divisors is an integer number (289926).

Almost surely, 2^12098016 is an apocalyptic number.

12098016 is a gapful number since it is divisible by the number (16) 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 12098016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874672).

12098016 is an abundant number, since it is smaller than the sum of its proper divisors (29651328).

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

12098016 is a wasteful number, since it uses less digits than its factorization.

12098016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12098016 is about 3478.2202345452. The cubic root of 12098016 is about 229.5644940988.

The spelling of 12098016 in words is "twelve million, ninety-eight thousand, sixteen".