2122020000 has 180 divisors, whose sum is σ = 7541343810. Its totient is φ = 565824000.

The previous prime is 2122019981. The next prime is 2122020001. The reversal of 2122020000 is 202212.

It can be written as a sum of positive squares in 5 ways, for example, as 82955664 + 2039064336 = 9108^2 + 45156^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2122020001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 174106 + ... + 185894.

Almost surely, 2^2122020000 is an apocalyptic number.

2122020000 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 2122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770671905).

2122020000 is an abundant number, since it is smaller than the sum of its proper divisors (5419323810).

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

2122020000 is a wasteful number, since it uses less digits than its factorization.

2122020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11825 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2122020000 is about 46065.3883083601. The cubic root of 2122020000 is about 1285.0395401339.

Adding to 2122020000 its reverse (202212), we get a palindrome (2122222212).

The spelling of 2122020000 in words is "two billion, one hundred twenty-two million, twenty thousand".