1020221200 has 60 divisors (see below), whose sum is σ = 2475447588. Its totient is φ = 404032000.

The previous prime is 1020221179. The next prime is 1020221231. The reversal of 1020221200 is 21220201.

It can be written as a sum of positive squares in 6 ways, for example, as 182466064 + 837755136 = 13508^2 + 28944^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27774 + ... + 53026.

Almost surely, 2^1020221200 is an apocalyptic number.

1020221200 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 1020221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237723794).

1020221200 is an abundant number, since it is smaller than the sum of its proper divisors (1455226388).

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

1020221200 is a wasteful number, since it uses less digits than its factorization.

1020221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25372 (or 25361 counting only the distinct ones).

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

The square root of 1020221200 is about 31940.9016779427. The cubic root of 1020221200 is about 1006.6954706220.

Adding to 1020221200 its reverse (21220201), we get a palindrome (1041441401).

Subtracting from 1020221200 its reverse (21220201), we obtain a palindrome (999000999).

The spelling of 1020221200 in words is "one billion, twenty million, two hundred twenty-one thousand, two hundred".