2121012320 has 96 divisors (see below), whose sum is σ = 5756401728. Its totient is φ = 723437568.

The previous prime is 2121012319. The next prime is 2121012329. The reversal of 2121012320 is 232101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2121012295 and 2121012304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215834 + ... + 225446.

It is an arithmetic number, because the mean of its divisors is an integer number (59962518).

Almost surely, 2^2121012320 is an apocalyptic number.

2121012320 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 2121012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878200864).

2121012320 is an abundant number, since it is smaller than the sum of its proper divisors (3635389408).

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

2121012320 is a wasteful number, since it uses less digits than its factorization.

2121012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2121012320 is about 46054.4495135921. The cubic root of 2121012320 is about 1284.8360997535.

Adding to 2121012320 its reverse (232101212), we get a palindrome (2353113532).

The spelling of 2121012320 in words is "two billion, one hundred twenty-one million, twelve thousand, three hundred twenty".