112120020000 has 180 divisors, whose sum is σ = 398424736710. Its totient is φ = 29898624000.

The previous prime is 112120019987. The next prime is 112120020041. The reversal of 112120020000 is 20021211.

It can be written as a sum of positive squares in 5 ways, for example, as 37015056 + 112083004944 = 6084^2 + 334788^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 131445 + ... + 491444.

Almost surely, 2^112120020000 is an apocalyptic number.

112120020000 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 112120020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199212368355).

112120020000 is an abundant number, since it is smaller than the sum of its proper divisors (286304716710).

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

112120020000 is an equidigital number, since it uses as much as digits as its factorization.

112120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622925 (or 622899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112120020000 its reverse (20021211), we get a palindrome (112140041211).

The spelling of 112120020000 in words is "one hundred twelve billion, one hundred twenty million, twenty thousand".