10444221141220 has 96 divisors (see below), whose sum is σ = 23104973374560. Its totient is φ = 3961460183040.

The previous prime is 10444221141181. The next prime is 10444221141227. The reversal of 10444221141220 is 2214112244401.

It can be written as a sum of positive squares in 16 ways, for example, as 591954816996 + 9852266324224 = 769386^2 + 3138832^2 .

It is not an unprimeable number, because it can be changed into a prime (10444221141227) 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, 3858912 + ... + 5981608.

It is an arithmetic number, because the mean of its divisors is an integer number (240676805985).

Almost surely, 2^{10444221141220} is an apocalyptic number.

10444221141220 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 10444221141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552486687280).

10444221141220 is an abundant number, since it is smaller than the sum of its proper divisors (12660752233340).

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

10444221141220 is a wasteful number, since it uses less digits than its factorization.

10444221141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122913 (or 2122911 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10444221141220 its reverse (2214112244401), we get a palindrome (12658333385621).

The spelling of 10444221141220 in words is "ten trillion, four hundred forty-four billion, two hundred twenty-one million, one hundred forty-one thousand, two hundred twenty".