1220505132 has 120 divisors (see below), whose sum is σ = 3625255872. Its totient is φ = 316932000.

The previous prime is 1220505127. The next prime is 1220505151. The reversal of 1220505132 is 2315050221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1220505099 and 1220505108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315007 + ... + 318857.

Almost surely, 2^1220505132 is an apocalyptic number.

1220505132 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 1220505132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812627936).

1220505132 is an abundant number, since it is smaller than the sum of its proper divisors (2404750740).

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

1220505132 is a wasteful number, since it uses less digits than its factorization.

1220505132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1220505132 is about 34935.7285883664. The cubic root of 1220505132 is about 1068.6771820843.

Adding to 1220505132 its reverse (2315050221), we get a palindrome (3535555353).

The spelling of 1220505132 in words is "one billion, two hundred twenty million, five hundred five thousand, one hundred thirty-two".