20225231322240 has 256 divisors, whose sum is σ = 73917635742720. Its totient is φ = 4607850737664.

The previous prime is 20225231322211. The next prime is 20225231322259. The reversal of 20225231322240 is 4222313252202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20225231322198 and 20225231322207.

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, 1675179 + ... + 6576981.

It is an arithmetic number, because the mean of its divisors is an integer number (288740764620).

Almost surely, 2^{20225231322240} is an apocalyptic number.

20225231322240 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 20225231322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36958817871360).

20225231322240 is an abundant number, since it is smaller than the sum of its proper divisors (53692404420480).

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

20225231322240 is a wasteful number, since it uses less digits than its factorization.

20225231322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902139 (or 4902127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 20225231322240 its reverse (4222313252202), we get a palindrome (24447544574442).

The spelling of 20225231322240 in words is "twenty trillion, two hundred twenty-five billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred forty".