112205403202640 has 480 divisors, whose sum is σ = 295568476156800. Its totient is φ = 39569572556800.

The previous prime is 112205403202631. The next prime is 112205403202643. The reversal of 112205403202640 is 46202304502211.

It is a super-3 number, since 3×112205403202640³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112205403202597 and 112205403202606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112205403202643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12943288226 + ... + 12943296894.

It is an arithmetic number, because the mean of its divisors is an integer number (615767658660).

Almost surely, 2^{112205403202640} is an apocalyptic number.

112205403202640 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 112205403202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147784238078400).

112205403202640 is an abundant number, since it is smaller than the sum of its proper divisors (183363072954160).

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

112205403202640 is a wasteful number, since it uses less digits than its factorization.

112205403202640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 112205403202640 its reverse (46202304502211), we get a palindrome (158407707704851).

The spelling of 112205403202640 in words is "one hundred twelve trillion, two hundred five billion, four hundred three million, two hundred two thousand, six hundred forty".