112212121421440 has 32 divisors (see below), whose sum is σ = 268257102774660. Its totient is φ = 44884848568320.

The previous prime is 112212121421431. The next prime is 112212121421461. The reversal of 112212121421440 is 44124121212211.

112212121421440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111655402490944 + 556718930496 = 10566712^2 + 746136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 112212121421399 and 112212121421408.

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 3 ways as a sum of consecutive naturals, for example, 87665719221 + ... + 87665720500.

Almost surely, 2^{112212121421440} is an apocalyptic number.

112212121421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212121421440 is an abundant number, since it is smaller than the sum of its proper divisors (156044981353220).

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

112212121421440 is an equidigital number, since it uses as much as digits as its factorization.

112212121421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175331439740 (or 175331439728 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 112212121421440 its reverse (44124121212211), we get a palindrome (156336242633651).

The spelling of 112212121421440 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".