112201856424 has 320 divisors, whose sum is σ = 364597200000. Its totient is φ = 31575785472.

The previous prime is 112201856407. The next prime is 112201856447. The reversal of 112201856424 is 424658102211.

112201856424 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 1 + 8 + 5 + 642 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181262787 + ... + 181263405.

It is an arithmetic number, because the mean of its divisors is an integer number (1139366250).

Almost surely, 2^112201856424 is an apocalyptic number.

112201856424 is a gapful number since it is divisible by the number (14) 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 112201856424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182298600000).

112201856424 is an abundant number, since it is smaller than the sum of its proper divisors (252395343576).

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

112201856424 is a wasteful number, since it uses less digits than its factorization.

112201856424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 112201856424 its reverse (424658102211), we get a palindrome (536859958635).

The spelling of 112201856424 in words is "one hundred twelve billion, two hundred one million, eight hundred fifty-six thousand, four hundred twenty-four".