112821900 has 144 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 28286720.

The previous prime is 112821899. The next prime is 112821931. The reversal of 112821900 is 9128211.

It is a super-2 number, since 2×112821900² = 25457562239220000, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 572602 + ... + 572798.

It is an arithmetic number, because the mean of its divisors is an integer number (2406096).

Almost surely, 2^112821900 is an apocalyptic number.

112821900 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 112821900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

112821900 is an abundant number, since it is smaller than the sum of its proper divisors (233655924).

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

112821900 is a wasteful number, since it uses less digits than its factorization.

112821900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 112821900 is about 10621.7653899905. The cubic root of 112821900 is about 483.2046850104.

The spelling of 112821900 in words is "one hundred twelve million, eight hundred twenty-one thousand, nine hundred".