20112525200 has 60 divisors (see below), whose sum is σ = 48376036548. Its totient is φ = 8035737600.

The previous prime is 20112525187. The next prime is 20112525203. The reversal of 20112525200 is 252521102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 553943296 + 19558581904 = 23536^2 + 139852^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20112525203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 323864 + ... + 380936.

Almost surely, 2^20112525200 is an apocalyptic number.

20112525200 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 20112525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24188018274).

20112525200 is an abundant number, since it is smaller than the sum of its proper divisors (28263511348).

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

20112525200 is a wasteful number, since it uses less digits than its factorization.

20112525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57972 (or 57961 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 20112525200 in words is "twenty billion, one hundred twelve million, five hundred twenty-five thousand, two hundred".