112271904900 has 567 divisors, whose sum is σ = 393417105501. Its totient is φ = 27792046080.

The previous prime is 112271904847. The next prime is 112271904907. The reversal of 112271904900 is 9409172211.

The square root of 112271904900 is 335070.

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

112271904900 is a `hidden beast` number, since 1 + 12 + 2 + 71 + 90 + 490 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 32083257924 + 80188646976 = 179118^2 + 283176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112271904907) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1537971264 + ... + 1537971336.

Almost surely, 2^112271904900 is an apocalyptic number.

112271904900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112271904900 is the 335070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112271904900

112271904900 is an abundant number, since it is smaller than the sum of its proper divisors (281145200601).

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

112271904900 is an equidigital number, since it uses as much as digits as its factorization.

112271904900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 112271904900 by its sum of digits (36), we get a square (4041788576400 = 2010420²).

112271904900 divided by its sum of digits (36) gives a square (3118664025 = 55845²).

The spelling of 112271904900 in words is "one hundred twelve billion, two hundred seventy-one million, nine hundred four thousand, nine hundred".