45012 has 36 divisors (see below), whose sum is σ = 119168. Its totient is φ = 13200.

The previous prime is 45007. The next prime is 45013. The reversal of 45012 is 21054.

Added to its reverse (21054) it gives a triangular number (66066 = T₃₆₃).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45013) by changing a digit.

45012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437 + ... + 1467.

2⁴⁵⁰¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59584).

45012 is an abundant number, since it is smaller than the sum of its proper divisors (74156).

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

45012 is a wasteful number, since it uses less digits than its factorization.

45012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 45012 is about 212.1603167418. The cubic root of 45012 is about 35.5720944468.

Adding to 45012 its reverse (21054), we get a palindrome (66066).

The spelling of 45012 in words is "forty-five thousand, twelve".