2121120000 has 360 divisors, whose sum is σ = 7854110880. Its totient is φ = 564480000.

The previous prime is 2121119993. The next prime is 2121120031. The reversal of 2121120000 is 211212.

2121120000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319755 + ... + 4320245.

Almost surely, 2^2121120000 is an apocalyptic number.

2121120000 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 2121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927055440).

2121120000 is an abundant number, since it is smaller than the sum of its proper divisors (5732990880).

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

2121120000 is an frugal number, since it uses more digits than its factorization.

2121120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2121120000 is about 46055.6185497492. The cubic root of 2121120000 is about 1284.8578423288.

Adding to 2121120000 its reverse (211212), we get a palindrome (2121331212).

The spelling of 2121120000 in words is "two billion, one hundred twenty-one million, one hundred twenty thousand".