22305023504120 has 256 divisors, whose sum is σ = 61810670592000. Its totient is φ = 7072774765056.

The previous prime is 22305023504119. The next prime is 22305023504149. The reversal of 22305023504120 is 2140532050322.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458181941 + ... + 458230619.

It is an arithmetic number, because the mean of its divisors is an integer number (241447932000).

Almost surely, 2^{22305023504120} is an apocalyptic number.

22305023504120 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 22305023504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905335296000).

22305023504120 is an abundant number, since it is smaller than the sum of its proper divisors (39505647087880).

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

22305023504120 is a wasteful number, since it uses less digits than its factorization.

22305023504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50762 (or 50758 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 22305023504120 its reverse (2140532050322), we get a palindrome (24445555554442).

The spelling of 22305023504120 in words is "twenty-two trillion, three hundred five billion, twenty-three million, five hundred four thousand, one hundred twenty".