22513245120 has 336 divisors, whose sum is σ = 80024630400. Its totient is φ = 5805692928.

The previous prime is 22513245107. The next prime is 22513245121. The reversal of 22513245120 is 2154231522.

22513245120 is a `hidden beast` number, since 2 + 2 + 513 + 24 + 5 + 120 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22513245121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13250031 + ... + 13251729.

Almost surely, 2^22513245120 is an apocalyptic number.

22513245120 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 22513245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40012315200).

22513245120 is an abundant number, since it is smaller than the sum of its proper divisors (57511385280).

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

22513245120 is a wasteful number, since it uses less digits than its factorization.

22513245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 22513245120 its reverse (2154231522), we get a palindrome (24667476642).

The spelling of 22513245120 in words is "twenty-two billion, five hundred thirteen million, two hundred forty-five thousand, one hundred twenty".