10222041442000 has 160 divisors (see below), whose sum is σ = 25298706850560. Its totient is φ = 3992622681600.

The previous prime is 10222041441901. The next prime is 10222041442001. The reversal of 10222041442000 is 24414022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222041442001) 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, 355423621 + ... + 355452379.

It is an arithmetic number, because the mean of its divisors is an integer number (158116917816).

Almost surely, 2^{10222041442000} is an apocalyptic number.

10222041442000 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 10222041442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12649353425280).

10222041442000 is an abundant number, since it is smaller than the sum of its proper divisors (15076665408560).

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

10222041442000 is a wasteful number, since it uses less digits than its factorization.

10222041442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958 (or 32942 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10222041442000 its reverse (24414022201), we get a palindrome (10246455464201).

The spelling of 10222041442000 in words is "ten trillion, two hundred twenty-two billion, forty-one million, four hundred forty-two thousand".