1205352000 has 168 divisors, whose sum is σ = 4312002552. Its totient is φ = 321408000.

The previous prime is 1205351999. The next prime is 1205352061. The reversal of 1205352000 is 2535021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 1192735296 = 3552^2 + 34536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63630 + ... + 80370.

Almost surely, 2^1205352000 is an apocalyptic number.

1205352000 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 1205352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156001276).

1205352000 is an abundant number, since it is smaller than the sum of its proper divisors (3106650552).

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

1205352000 is a wasteful number, since it uses less digits than its factorization.

1205352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16774 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1205352000 is about 34718.1796757837. The cubic root of 1205352000 is about 1064.2360453933.

Adding to 1205352000 its reverse (2535021), we get a palindrome (1207887021).

The spelling of 1205352000 in words is "one billion, two hundred five million, three hundred fifty-two thousand".