112821520 has 120 divisors (see below), whose sum is σ = 323276184. Its totient is φ = 36384768.

The previous prime is 112821491. The next prime is 112821581. The reversal of 112821520 is 25128211.

It can be written as a sum of positive squares in 4 ways, for example, as 17875984 + 94945536 = 4228^2 + 9744^2 .

It is a super-2 number, since 2×112821520² = 25457390750220800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112821491 and 112821500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65794 + ... + 67486.

Almost surely, 2^112821520 is an apocalyptic number.

112821520 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 112821520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638092).

112821520 is an abundant number, since it is smaller than the sum of its proper divisors (210454664).

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

112821520 is a wasteful number, since it uses less digits than its factorization.

112821520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 112821520 is about 10621.7475021768. The cubic root of 112821520 is about 483.2041425094.

Adding to 112821520 its reverse (25128211), we get a palindrome (137949731).

The spelling of 112821520 in words is "one hundred twelve million, eight hundred twenty-one thousand, five hundred twenty".