1221433225220 has 96 divisors (see below), whose sum is σ = 2780937424608. Its totient is φ = 447953006592.

The previous prime is 1221433225151. The next prime is 1221433225231. The reversal of 1221433225220 is 225223341221.

It can be written as a sum of positive squares in 16 ways, for example, as 293432389636 + 928000835584 = 541694^2 + 963328^2 .

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 31 ways as a sum of consecutive naturals, for example, 196463552 + ... + 196469768.

It is an arithmetic number, because the mean of its divisors is an integer number (28968098173).

Almost surely, 2^{1221433225220} is an apocalyptic number.

1221433225220 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 1221433225220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390468712304).

1221433225220 is an abundant number, since it is smaller than the sum of its proper divisors (1559504199388).

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

1221433225220 is a wasteful number, since it uses less digits than its factorization.

1221433225220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11209 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 1221433225220 its reverse (225223341221), we get a palindrome (1446656566441).

The spelling of 1221433225220 in words is "one trillion, two hundred twenty-one billion, four hundred thirty-three million, two hundred twenty-five thousand, two hundred twenty".