1221134020 has 48 divisors (see below), whose sum is σ = 2651701248. Its totient is φ = 471876480.

The previous prime is 1221134017. The next prime is 1221134029. The reversal of 1221134020 is 204311221.

It is a junction number, because it is equal to n+sod(n) for n = 1221133985 and 1221134003.

It is not an unprimeable number, because it can be changed into a prime (1221134029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453117 + ... + 455803.

It is an arithmetic number, because the mean of its divisors is an integer number (55243776).

Almost surely, 2^1221134020 is an apocalyptic number.

1221134020 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 1221134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325850624).

1221134020 is an abundant number, since it is smaller than the sum of its proper divisors (1430567228).

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

1221134020 is a wasteful number, since it uses less digits than its factorization.

1221134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1221134020 is about 34944.7280716276. The cubic root of 1221134020 is about 1068.8607025076.

Adding to 1221134020 its reverse (204311221), we get a palindrome (1425445241).

The spelling of 1221134020 in words is "one billion, two hundred twenty-one million, one hundred thirty-four thousand, twenty".