2321122000 has 80 divisors (see below), whose sum is σ = 5650866000. Its totient is φ = 922099200.

The previous prime is 2321121967. The next prime is 2321122007. The reversal of 2321122000 is 2211232.

It can be written as a sum of positive squares in 8 ways, for example, as 1142710416 + 1178411584 = 33804^2 + 34328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321122007) 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, 294106 + ... + 301894.

It is an arithmetic number, because the mean of its divisors is an integer number (70635825).

Almost surely, 2^2321122000 is an apocalyptic number.

2321122000 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 2321122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825433000).

2321122000 is an abundant number, since it is smaller than the sum of its proper divisors (3329744000).

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

2321122000 is a wasteful number, since it uses less digits than its factorization.

2321122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7945 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2321122000 is about 48178.0240358610. The cubic root of 2321122000 is about 1324.0345643170.

Adding to 2321122000 its reverse (2211232), we get a palindrome (2323333232).

The spelling of 2321122000 in words is "two billion, three hundred twenty-one million, one hundred twenty-two thousand".