1205522880 has 112 divisors (see below), whose sum is σ = 3843552384. Its totient is φ = 320128000.

The previous prime is 1205522861. The next prime is 1205522891. The reversal of 1205522880 is 882255021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238459 + ... + 243461.

It is an arithmetic number, because the mean of its divisors is an integer number (34317432).

Almost surely, 2^1205522880 is an apocalyptic number.

1205522880 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 1205522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921776192).

1205522880 is an abundant number, since it is smaller than the sum of its proper divisors (2638029504).

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

1205522880 is a wasteful number, since it uses less digits than its factorization.

1205522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 1205522880 is about 34720.6405470867. The cubic root of 1205522880 is about 1064.2863344548.

The spelling of 1205522880 in words is "one billion, two hundred five million, five hundred twenty-two thousand, eight hundred eighty".