2120122000 has 40 divisors (see below), whose sum is σ = 5126459832. Its totient is φ = 848048000.

The previous prime is 2120121967. The next prime is 2120122001. The reversal of 2120122000 is 2210212.

It can be written as a sum of positive squares in 4 ways, for example, as 352087696 + 1768034304 = 18764^2 + 42048^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2120122001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528031 + ... + 532030.

Almost surely, 2^2120122000 is an apocalyptic number.

2120122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120122000 is an abundant number, since it is smaller than the sum of its proper divisors (3006337832).

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

2120122000 is a wasteful number, since it uses less digits than its factorization.

2120122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060084 (or 1060068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120122000 is about 46044.7825491662. The cubic root of 2120122000 is about 1284.6562995452.

Adding to 2120122000 its reverse (2210212), we get a palindrome (2122332212).

The spelling of 2120122000 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand".