1205032000 has 224 divisors, whose sum is σ = 3180063744. Its totient is φ = 451584000.

The previous prime is 1205031979. The next prime is 1205032001. The reversal of 1205032000 is 2305021.

It is not an unprimeable number, because it can be changed into a prime (1205032001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10663944 + ... + 10664056.

Almost surely, 2^1205032000 is an apocalyptic number.

1205032000 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 1205032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590031872).

1205032000 is an abundant number, since it is smaller than the sum of its proper divisors (1975031744).

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

1205032000 is a wasteful number, since it uses less digits than its factorization.

1205032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1205032000 is about 34713.5708333211. The cubic root of 1205032000 is about 1064.1418583353.

Adding to 1205032000 its reverse (2305021), we get a palindrome (1207337021).

The spelling of 1205032000 in words is "one billion, two hundred five million, thirty-two thousand".