112205210656 has 144 divisors (see below), whose sum is σ = 278590536000. Its totient is φ = 43217602560.

The previous prime is 112205210603. The next prime is 112205210701. The reversal of 112205210656 is 656012502211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19514470 + ... + 19520218.

It is an arithmetic number, because the mean of its divisors is an integer number (1934656500).

Almost surely, 2^112205210656 is an apocalyptic number.

112205210656 is a gapful number since it is divisible by the number (16) 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 112205210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139295268000).

112205210656 is an abundant number, since it is smaller than the sum of its proper divisors (166385325344).

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

112205210656 is an equidigital number, since it uses as much as digits as its factorization.

112205210656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 112205210656 its reverse (656012502211), we get a palindrome (768217712867).

The spelling of 112205210656 in words is "one hundred twelve billion, two hundred five million, two hundred ten thousand, six hundred fifty-six".