2122000032 has 96 divisors (see below), whose sum is σ = 5648190912. Its totient is φ = 697503744.

The previous prime is 2122000031. The next prime is 2122000037. The reversal of 2122000032 is 2300002212.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2121999981 and 2122000017.

It is not an unprimeable number, because it can be changed into a prime (2122000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3461358 + ... + 3461970.

It is an arithmetic number, because the mean of its divisors is an integer number (58835322).

Almost surely, 2^2122000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824095456).

2122000032 is an abundant number, since it is smaller than the sum of its proper divisors (3526190880).

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

2122000032 is a wasteful number, since it uses less digits than its factorization.

2122000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1062 counting only the distinct ones).

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

The square root of 2122000032 is about 46065.1715724581. The cubic root of 2122000032 is about 1285.0355094226.

Adding to 2122000032 its reverse (2300002212), we get a palindrome (4422002244).

The spelling of 2122000032 in words is "two billion, one hundred twenty-two million, thirty-two", and thus it is an aban number.