22442302002120 has 512 divisors, whose sum is σ = 92840144302080. Its totient is φ = 4188275527680.

The previous prime is 22442302002091. The next prime is 22442302002121. The reversal of 22442302002120 is 2120020324422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22442302002121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1919679 + ... + 6969201.

It is an arithmetic number, because the mean of its divisors is an integer number (181328406840).

Almost surely, 2^{22442302002120} is an apocalyptic number.

22442302002120 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 22442302002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46420072151040).

22442302002120 is an abundant number, since it is smaller than the sum of its proper divisors (70397842299960).

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

22442302002120 is a wasteful number, since it uses less digits than its factorization.

22442302002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049605 (or 5049601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22442302002120 its reverse (2120020324422), we get a palindrome (24562322326542).

The spelling of 22442302002120 in words is "twenty-two trillion, four hundred forty-two billion, three hundred two million, two thousand, one hundred twenty".