12055968 has 72 divisors (see below), whose sum is σ = 35154756. Its totient is φ = 3916800.

The previous prime is 12055957. The next prime is 12055973. The reversal of 12055968 is 86955021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 685584 = 3372^2 + 828^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11298 + ... + 12318.

Almost surely, 2^12055968 is an apocalyptic number.

12055968 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 12055968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577378).

12055968 is an abundant number, since it is smaller than the sum of its proper divisors (23098788).

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

12055968 is a wasteful number, since it uses less digits than its factorization.

12055968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12055968 is about 3472.1705027259. The cubic root of 12055968 is about 229.2982264030.

It can be divided in two parts, 1205596 and 8, that added together give a square (1205604 = 1098²).

The spelling of 12055968 in words is "twelve million, fifty-five thousand, nine hundred sixty-eight".