112052000 has 96 divisors (see below), whose sum is σ = 278918640. Its totient is φ = 44236800.

The previous prime is 112051997. The next prime is 112052009. The reversal of 112052000 is 250211.

It can be written as a sum of positive squares in 8 ways, for example, as 36917776 + 75134224 = 6076^2 + 8668^2 .

It is not an unprimeable number, because it can be changed into a prime (112052009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 435872 + ... + 436128.

Almost surely, 2^112052000 is an apocalyptic number.

112052000 is a gapful number since it is divisible by the number (10) 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 112052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139459320).

112052000 is an abundant number, since it is smaller than the sum of its proper divisors (166866640).

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

112052000 is a wasteful number, since it uses less digits than its factorization.

112052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 112052000 is about 10585.4617282384. The cubic root of 112052000 is about 482.1030409344.

The spelling of 112052000 in words is "one hundred twelve million, fifty-two thousand".