1021211200 has 84 divisors (see below), whose sum is σ = 2519113072. Its totient is φ = 407462400.

The previous prime is 1021211189. The next prime is 1021211209. The reversal of 1021211200 is 21121201.

1021211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (1021211209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1258795 + ... + 1259605.

Almost surely, 2^1021211200 is an apocalyptic number.

1021211200 is a gapful number since it is divisible by the number (10) 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 1021211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259556536).

1021211200 is an abundant number, since it is smaller than the sum of its proper divisors (1497901872).

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

1021211200 is an equidigital number, since it uses as much as digits as its factorization.

1021211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1021211200 is about 31956.3952910838. The cubic root of 1021211200 is about 1007.0209903298.

Adding to 1021211200 its reverse (21121201), we get a palindrome (1042332401).

It can be divided in two parts, 10212 and 11200, that added together give a palindrome (21412).

The spelling of 1021211200 in words is "one billion, twenty-one million, two hundred eleven thousand, two hundred".