2022042144000 has 288 divisors, whose sum is σ = 6719630246784. Its totient is φ = 538936934400.

The previous prime is 2022042143969. The next prime is 2022042144013. The reversal of 2022042144000 is 4412402202.

It is a super-2 number, since 2×2022042144000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248923939 + ... + 248932061.

It is an arithmetic number, because the mean of its divisors is an integer number (23332049468).

Almost surely, 2^{2022042144000} is an apocalyptic number.

2022042144000 is a gapful number since it is divisible by the number (20) 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 2022042144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359815123392).

2022042144000 is an abundant number, since it is smaller than the sum of its proper divisors (4697588102784).

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

2022042144000 is an equidigital number, since it uses as much as digits as its factorization.

2022042144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 2022042144000 its reverse (4412402202), we get a palindrome (2026454546202).

The spelling of 2022042144000 in words is "two trillion, twenty-two billion, forty-two million, one hundred forty-four thousand".