21264012 has 96 divisors (see below), whose sum is σ = 68759040. Its totient is φ = 5520960.

The previous prime is 21263993. The next prime is 21264017. The reversal of 21264012 is 21046212.

21264012 is a `hidden beast` number, since 2 + 12 + 640 + 12 = 666.

It is a super-2 number, since 2×21264012² = 904316412672288, which contains 22 as substring.

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 (21264017) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7038 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (716240).

Almost surely, 2^21264012 is an apocalyptic number.

21264012 is a gapful number since it is divisible by the number (22) 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 21264012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34379520).

21264012 is an abundant number, since it is smaller than the sum of its proper divisors (47495028).

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

21264012 is a wasteful number, since it uses less digits than its factorization.

21264012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21264012 is about 4611.2917929795. The cubic root of 21264012 is about 277.0437792195.

The spelling of 21264012 in words is "twenty-one million, two hundred sixty-four thousand, twelve".