2124212000 has 96 divisors (see below), whose sum is σ = 5330707200. Its totient is φ = 831532800.

The previous prime is 2124211937. The next prime is 2124212071. The reversal of 2124212000 is 2124212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182351 + ... + 193649.

It is an arithmetic number, because the mean of its divisors is an integer number (55528200).

Almost surely, 2^2124212000 is an apocalyptic number.

2124212000 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 2124212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665353600).

2124212000 is an abundant number, since it is smaller than the sum of its proper divisors (3206495200).

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

2124212000 is a wasteful number, since it uses less digits than its factorization.

2124212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2124212000 is about 46089.1744339167. The cubic root of 2124212000 is about 1285.4818603961.

Adding to 2124212000 its reverse (2124212), we get a palindrome (2126336212).

2124212000 divided by its reverse (2124212) gives a cube (1000 = 10³).

The spelling of 2124212000 in words is "two billion, one hundred twenty-four million, two hundred twelve thousand".