2021123200 has 192 divisors, whose sum is σ = 5393929320. Its totient is φ = 745472000.

The previous prime is 2021123197. The next prime is 2021123201. The reversal of 2021123200 is 23211202.

It can be written as a sum of positive squares in 12 ways, for example, as 870014016 + 1151109184 = 29496^2 + 33928^2 .

It is not an unprimeable number, because it can be changed into a prime (2021123201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2882850 + ... + 2883550.

Almost surely, 2^2021123200 is an apocalyptic number.

2021123200 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 2021123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696964660).

2021123200 is an abundant number, since it is smaller than the sum of its proper divisors (3372806120).

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

2021123200 is a wasteful number, since it uses less digits than its factorization.

2021123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

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

The square root of 2021123200 is about 44956.9038079804. The cubic root of 2021123200 is about 1264.3411192772.

Adding to 2021123200 its reverse (23211202), we get a palindrome (2044334402).

The spelling of 2021123200 in words is "two billion, twenty-one million, one hundred twenty-three thousand, two hundred".