1221132100 has 72 divisors (see below), whose sum is σ = 2927812608. Its totient is φ = 439718400.

The previous prime is 1221132041. The next prime is 1221132113. The reversal of 1221132100 is 12311221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23485 + ... + 54715.

It is an arithmetic number, because the mean of its divisors is an integer number (40664064).

Almost surely, 2^1221132100 is an apocalyptic number.

1221132100 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 1221132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463906304).

1221132100 is an abundant number, since it is smaller than the sum of its proper divisors (1706680508).

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

1221132100 is a wasteful number, since it uses less digits than its factorization.

1221132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31285 (or 31278 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1221132100 is about 34944.7005996617. The cubic root of 1221132100 is about 1068.8601423142.

Adding to 1221132100 its reverse (12311221), we get a palindrome (1233443321).

The spelling of 1221132100 in words is "one billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred".