3012240000 has 640 divisors, whose sum is σ = 12541985280. Its totient is φ = 622080000.

The previous prime is 3012239987. The next prime is 3012240019. The reversal of 3012240000 is 422103.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479919 + ... + 18480081.

It is an arithmetic number, because the mean of its divisors is an integer number (19596852).

Almost surely, 2^3012240000 is an apocalyptic number.

3012240000 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 3012240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270992640).

3012240000 is an abundant number, since it is smaller than the sum of its proper divisors (9529745280).

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

3012240000 is a wasteful number, since it uses less digits than its factorization.

3012240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3012240000 is about 54883.8774140457. The cubic root of 3012240000 is about 1444.2083681683.

Adding to 3012240000 its reverse (422103), we get a palindrome (3012662103).

The spelling of 3012240000 in words is "three billion, twelve million, two hundred forty thousand".