1221105334440 has 128 divisors (see below), whose sum is σ = 3830959100160. Its totient is φ = 310788470784.

The previous prime is 1221105334411. The next prime is 1221105334441. The reversal of 1221105334440 is 444335011221.

It is a super-2 number, since 2×1221105334440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1221105334398 and 1221105334407.

It is not an unprimeable number, because it can be changed into a prime (1221105334441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 777262 + ... + 1745378.

It is an arithmetic number, because the mean of its divisors is an integer number (29929367970).

Almost surely, 2^{1221105334440} is an apocalyptic number.

1221105334440 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 1221105334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915479550080).

1221105334440 is an abundant number, since it is smaller than the sum of its proper divisors (2609853765720).

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

1221105334440 is a wasteful number, since it uses less digits than its factorization.

1221105334440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968611 (or 968607 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 1221105334440 in words is "one trillion, two hundred twenty-one billion, one hundred five million, three hundred thirty-four thousand, four hundred forty".