2112525000 has 288 divisors, whose sum is σ = 7357732200. Its totient is φ = 547200000.

The previous prime is 2112524987. The next prime is 2112525049. The reversal of 2112525000 is 5252112.

2112525000 is a `hidden beast` number, since 2 + 112 + 52 + 500 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1022336676 + 1090188324 = 31974^2 + 33018^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 9224886 + ... + 9225114.

Almost surely, 2^2112525000 is an apocalyptic number.

2112525000 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 2112525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678866100).

2112525000 is an abundant number, since it is smaller than the sum of its proper divisors (5245207200).

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

2112525000 is a wasteful number, since it uses less digits than its factorization.

2112525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2112525000 is about 45962.2127404676. The cubic root of 2112525000 is about 1283.1200335141.

Adding to 2112525000 its reverse (5252112), we get a palindrome (2117777112).

The spelling of 2112525000 in words is "two billion, one hundred twelve million, five hundred twenty-five thousand".