1221583707344 has 160 divisors (see below), whose sum is σ = 3179856476160. Its totient is φ = 439050124800.

The previous prime is 1221583707343. The next prime is 1221583707353. The reversal of 1221583707344 is 4437073851221.

It is a super-2 number, since 2×1221583707344² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221583707343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25906349 + ... + 25953459.

It is an arithmetic number, because the mean of its divisors is an integer number (19874102976).

Almost surely, 2^{1221583707344} is an apocalyptic number.

1221583707344 is a gapful number since it is divisible by the number (14) 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 1221583707344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589928238080).

1221583707344 is an abundant number, since it is smaller than the sum of its proper divisors (1958272768816).

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

1221583707344 is a wasteful number, since it uses less digits than its factorization.

1221583707344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48769 (or 48763 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 1221583707344 in words is "one trillion, two hundred twenty-one billion, five hundred eighty-three million, seven hundred seven thousand, three hundred forty-four".