2122000320 has 224 divisors, whose sum is σ = 7549871616. Its totient is φ = 500428800.

The previous prime is 2122000303. The next prime is 2122000381. The reversal of 2122000320 is 230002212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2122000296 and 2122000305.

It is a congruent number.

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, 388005 + ... + 393435.

It is an arithmetic number, because the mean of its divisors is an integer number (33704784).

Almost surely, 2^2122000320 is an apocalyptic number.

2122000320 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 2122000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774935808).

2122000320 is an abundant number, since it is smaller than the sum of its proper divisors (5427871296).

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

2122000320 is a wasteful number, since it uses less digits than its factorization.

2122000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2122000320 is about 46065.1746984639. The cubic root of 2122000320 is about 1285.0355675581.

Adding to 2122000320 its reverse (230002212), we get a palindrome (2352002532).

The spelling of 2122000320 in words is "two billion, one hundred twenty-two million, three hundred twenty", and thus it is an aban number.