3012000 has 96 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 800000.

The previous prime is 3011989. The next prime is 3012001. The reversal of 3012000 is 2103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3012000.

It is not an unprimeable number, because it can be changed into a prime (3012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11875 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

Almost surely, 2^3012000 is an apocalyptic number.

3012000 is a gapful number since it is divisible by the number (30) 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 3012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3012000 is an abundant number, since it is smaller than the sum of its proper divisors (6894624).

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

3012000 is a wasteful number, since it uses less digits than its factorization.

3012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3012000 is about 1735.5114519933. The cubic root of 3012000 is about 144.4170011418.

Adding to 3012000 its reverse (2103), we get a palindrome (3014103).

It can be divided in two parts, 30 and 12000, that multiplied together give a square (360000 = 600²).

The spelling of 3012000 in words is "three million, twelve thousand".