112781788900 has 243 divisors, whose sum is σ = 279342992649. Its totient is φ = 39493608000.

The previous prime is 112781788859. The next prime is 112781788907. The reversal of 112781788900 is 9887187211.

The square root of 112781788900 is 335830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40601444004 + 72180344896 = 201498^2 + 268664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112781788907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1588475865 + ... + 1588475935.

Almost surely, 2^112781788900 is an apocalyptic number.

112781788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112781788900 is the 335830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112781788900

112781788900 is an abundant number, since it is smaller than the sum of its proper divisors (166561203749).

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

112781788900 is a wasteful number, since it uses less digits than its factorization.

112781788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 52.

The spelling of 112781788900 in words is "one hundred twelve billion, seven hundred eighty-one million, seven hundred eighty-eight thousand, nine hundred".