12056016 has 80 divisors (see below), whose sum is σ = 36319104. Its totient is φ = 3374592.

The previous prime is 12056003. The next prime is 12056027. The reversal of 12056016 is 61065021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12055983 and 12056001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17470 + ... + 18146.

Almost surely, 2^12056016 is an apocalyptic number.

12056016 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 12056016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159552).

12056016 is an abundant number, since it is smaller than the sum of its proper divisors (24263088).

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

12056016 is a wasteful number, since it uses less digits than its factorization.

12056016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 12056016 is about 3472.1774148220. The cubic root of 12056016 is about 229.2985307142.

The spelling of 12056016 in words is "twelve million, fifty-six thousand, sixteen".