1221321333330 has 144 divisors (see below), whose sum is σ = 3713015740824. Its totient is φ = 277712547840.

The previous prime is 1221321333317. The next prime is 1221321333343. The reversal of 1221321333330 is 333331231221.

1221321333330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 321 + 3 + 3 + 3 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (1221321333317) and next prime (1221321333343).

It can be written as a sum of positive squares in 4 ways, for example, as 454948901001 + 766372432329 = 674499^2 + 875427^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221321333294 and 1221321333303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133660 + ... + 1568600.

Almost surely, 2^{1221321333330} is an apocalyptic number.

1221321333330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221321333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856507870412).

1221321333330 is an abundant number, since it is smaller than the sum of its proper divisors (2491694407494).

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

1221321333330 is a wasteful number, since it uses less digits than its factorization.

1221321333330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435161 (or 1435151 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1221321333330 its reverse (333331231221), we get a palindrome (1554652564551).

The spelling of 1221321333330 in words is "one trillion, two hundred twenty-one billion, three hundred twenty-one million, three hundred thirty-three thousand, three hundred thirty".