1205221032 has 80 divisors (see below), whose sum is σ = 3389338260. Its totient is φ = 400121856.

The previous prime is 1205220979. The next prime is 1205221037. The reversal of 1205221032 is 2301225021.

It can be written as a sum of positive squares in 2 ways, for example, as 1011621636 + 193599396 = 31806^2 + 13914^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1205220996 and 1205221014.

It is not an unprimeable number, because it can be changed into a prime (1205221037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 162918 + ... + 170154.

Almost surely, 2^1205221032 is an apocalyptic number.

1205221032 is a gapful number since it is divisible by the number (12) 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 1205221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694669130).

1205221032 is an abundant number, since it is smaller than the sum of its proper divisors (2184117228).

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

1205221032 is a wasteful number, since it uses less digits than its factorization.

1205221032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1205221032 is about 34716.2934657489. The cubic root of 1205221032 is about 1064.1974990006.

Adding to 1205221032 its reverse (2301225021), we get a palindrome (3506446053).

The spelling of 1205221032 in words is "one billion, two hundred five million, two hundred twenty-one thousand, thirty-two".