20225512000 has 224 divisors, whose sum is σ = 53498105856. Its totient is φ = 7547904000.

The previous prime is 20225511967. The next prime is 20225512019. The reversal of 20225512000 is 21552202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17271415 + ... + 17272585.

Almost surely, 2^20225512000 is an apocalyptic number.

20225512000 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 20225512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26749052928).

20225512000 is an abundant number, since it is smaller than the sum of its proper divisors (33272593856).

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

20225512000 is a wasteful number, since it uses less digits than its factorization.

20225512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The spelling of 20225512000 in words is "twenty billion, two hundred twenty-five million, five hundred twelve thousand".