1020211200 has 468 divisors, whose sum is σ = 3881944248. Its totient is φ = 265420800.

The previous prime is 1020211169. The next prime is 1020211217. The reversal of 1020211200 is 21120201.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24883180 + ... + 24883220.

Almost surely, 2^1020211200 is an apocalyptic number.

1020211200 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 1020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940972124).

1020211200 is an abundant number, since it is smaller than the sum of its proper divisors (2861733048).

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

1020211200 is an frugal number, since it uses more digits than its factorization.

1020211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1020211200 is about 31940.7451384591. The cubic root of 1020211200 is about 1006.6921814701.

Adding to 1020211200 its reverse (21120201), we get a palindrome (1041331401).

Subtracting from 1020211200 its reverse (21120201), we obtain a palindrome (999090999).

The spelling of 1020211200 in words is "one billion, twenty million, two hundred eleven thousand, two hundred".