1060221200 has 60 divisors (see below), whose sum is σ = 2570655780. Its totient is φ = 420180480.

The previous prime is 1060221193. The next prime is 1060221233. The reversal of 1060221200 is 21220601.

It can be written as a sum of positive squares in 6 ways, for example, as 2930944 + 1057290256 = 1712^2 + 32516^2 .

It is a super-2 number, since 2×1060221200² = 2248137985858880000, which contains 22 as substring.

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, 31442 + ... + 55758.

It is an arithmetic number, because the mean of its divisors is an integer number (42844263).

Almost surely, 2^1060221200 is an apocalyptic number.

1060221200 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 1060221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285327890).

1060221200 is an abundant number, since it is smaller than the sum of its proper divisors (1510434580).

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

1060221200 is a wasteful number, since it uses less digits than its factorization.

1060221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24444 (or 24433 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1060221200 is about 32561.0380669904. The cubic root of 1060221200 is about 1019.6837415008.

Adding to 1060221200 its reverse (21220601), we get a palindrome (1081441801).

The spelling of 1060221200 in words is "one billion, sixty million, two hundred twenty-one thousand, two hundred".