2121152000 has 320 divisors, whose sum is σ = 6066897408. Its totient is φ = 732160000.

The previous prime is 2121151987. The next prime is 2121152009. The reversal of 2121152000 is 2511212.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121152009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16191935 + ... + 16192065.

Almost surely, 2^2121152000 is an apocalyptic number.

2121152000 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 2121152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033448704).

2121152000 is an abundant number, since it is smaller than the sum of its proper divisors (3945745408).

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

2121152000 is a wasteful number, since it uses less digits than its factorization.

2121152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2121152000 is about 46055.9659544776. The cubic root of 2121152000 is about 1284.8643035763.

Adding to 2121152000 its reverse (2511212), we get a palindrome (2123663212).

The spelling of 2121152000 in words is "two billion, one hundred twenty-one million, one hundred fifty-two thousand".