1205205232 has 80 divisors (see below), whose sum is σ = 2917170432. Its totient is φ = 468610560.

The previous prime is 1205205193. The next prime is 1205205233. The reversal of 1205205232 is 2325025021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205205233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166188 + ... + 1167220.

Almost surely, 2^1205205232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205205232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458585216).

1205205232 is an abundant number, since it is smaller than the sum of its proper divisors (1711965200).

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

1205205232 is a wasteful number, since it uses less digits than its factorization.

1205205232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1205205232 is about 34716.0659061478. The cubic root of 1205205232 is about 1064.1928485689.

The spelling of 1205205232 in words is "one billion, two hundred five million, two hundred five thousand, two hundred thirty-two".