22124202442120 has 128 divisors (see below), whose sum is σ = 52729374297600. Its totient is φ = 8331279667200.

The previous prime is 22124202442073. The next prime is 22124202442127. The reversal of 22124202442120 is 2124420242122.

It is not an unprimeable number, because it can be changed into a prime (22124202442127) 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, 78235380 + ... + 78517660.

It is an arithmetic number, because the mean of its divisors is an integer number (411948236700).

Almost surely, 2^{22124202442120} is an apocalyptic number.

22124202442120 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 22124202442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26364687148800).

22124202442120 is an abundant number, since it is smaller than the sum of its proper divisors (30605171855480).

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

22124202442120 is a wasteful number, since it uses less digits than its factorization.

22124202442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282959 (or 282955 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 22124202442120 its reverse (2124420242122), we get a palindrome (24248622684242).

The spelling of 22124202442120 in words is "twenty-two trillion, one hundred twenty-four billion, two hundred two million, four hundred forty-two thousand, one hundred twenty".