20145224000 has 112 divisors (see below), whose sum is σ = 54425307456. Its totient is φ = 7325504000.

The previous prime is 20145223939. The next prime is 20145224017. The reversal of 20145224000 is 42254102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26462 + ... + 202461.

Almost surely, 2^20145224000 is an apocalyptic number.

20145224000 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 20145224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212653728).

20145224000 is an abundant number, since it is smaller than the sum of its proper divisors (34280083456).

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

20145224000 is a wasteful number, since it uses less digits than its factorization.

20145224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228961 (or 228941 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20145224000 its reverse (42254102), we get a palindrome (20187478102).

The spelling of 20145224000 in words is "twenty billion, one hundred forty-five million, two hundred twenty-four thousand".