1221132132 has 96 divisors (see below), whose sum is σ = 3460544640. Its totient is φ = 369308160.

The previous prime is 1221132131. The next prime is 1221132149. The reversal of 1221132132 is 2312311221.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1221132131) 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, 1112608 + ... + 1113704.

It is an arithmetic number, because the mean of its divisors is an integer number (36047340).

Almost surely, 2^1221132132 is an apocalyptic number.

1221132132 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 1221132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730272320).

1221132132 is an abundant number, since it is smaller than the sum of its proper divisors (2239412508).

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

1221132132 is a wasteful number, since it uses less digits than its factorization.

1221132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2050 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1221132132 is about 34944.7010575280. The cubic root of 1221132132 is about 1068.8601516507.

Adding to 1221132132 its reverse (2312311221), we get a palindrome (3533443353).

Subtracting 1221132132 from its reverse (2312311221), we obtain a square (1091179089 = 33033²).

The spelling of 1221132132 in words is "one billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-two".