2122512000 has 256 divisors, whose sum is σ = 8042561280. Its totient is φ = 485068800.

The previous prime is 2122511987. The next prime is 2122512017. The reversal of 2122512000 is 2152212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332842 + ... + 339158.

It is an arithmetic number, because the mean of its divisors is an integer number (31416255).

Almost surely, 2^2122512000 is an apocalyptic number.

2122512000 is a gapful number since it is divisible by the number (20) 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 2122512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021280640).

2122512000 is an abundant number, since it is smaller than the sum of its proper divisors (5920049280).

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

2122512000 is an equidigital number, since it uses as much as digits as its factorization.

2122512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2122512000 is about 46070.7282338797. The cubic root of 2122512000 is about 1285.1388465491.

Adding to 2122512000 its reverse (2152212), we get a palindrome (2124664212).

The spelling of 2122512000 in words is "two billion, one hundred twenty-two million, five hundred twelve thousand".