10022144000 has 192 divisors, whose sum is σ = 27290390400. Its totient is φ = 3643392000.

The previous prime is 10022143991. The next prime is 10022144003. The reversal of 10022144000 is 44122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814221 + ... + 2817779.

It is an arithmetic number, because the mean of its divisors is an integer number (142137450).

Almost surely, 2^10022144000 is an apocalyptic number.

10022144000 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 10022144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645195200).

10022144000 is an abundant number, since it is smaller than the sum of its proper divisors (17268246400).

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

10022144000 is an equidigital number, since it uses as much as digits as its factorization.

10022144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10022144000 its reverse (44122001), we get a palindrome (10066266001).

The spelling of 10022144000 in words is "ten billion, twenty-two million, one hundred forty-four thousand".