1205132000 has 192 divisors, whose sum is σ = 3167760960. Its totient is φ = 449280000.

The previous prime is 1205131987. The next prime is 1205132003. The reversal of 1205132000 is 2315021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7675922 + ... + 7676078.

It is an arithmetic number, because the mean of its divisors is an integer number (16498755).

Almost surely, 2^1205132000 is an apocalyptic number.

1205132000 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 1205132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583880480).

1205132000 is an abundant number, since it is smaller than the sum of its proper divisors (1962628960).

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

1205132000 is a wasteful number, since it uses less digits than its factorization.

1205132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1205132000 is about 34715.0111623200. The cubic root of 1205132000 is about 1064.1712935820.

Adding to 1205132000 its reverse (2315021), we get a palindrome (1207447021).

The spelling of 1205132000 in words is "one billion, two hundred five million, one hundred thirty-two thousand".