112521728849920 has 192 divisors, whose sum is σ = 293043837864960. Its totient is φ = 41219340632064.

The previous prime is 112521728849911. The next prime is 112521728849923. The reversal of 112521728849920 is 29948827125211.

It is a super-2 number, since 2×112521728849920² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112521728849923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13578424 + ... + 20234056.

It is an arithmetic number, because the mean of its divisors is an integer number (1526269988880).

Almost surely, 2^{112521728849920} is an apocalyptic number.

112521728849920 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 112521728849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146521918932480).

112521728849920 is an abundant number, since it is smaller than the sum of its proper divisors (180522109015040).

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

112521728849920 is a wasteful number, since it uses less digits than its factorization.

112521728849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6655800 (or 6655780 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 61.

The spelling of 112521728849920 in words is "one hundred twelve trillion, five hundred twenty-one billion, seven hundred twenty-eight million, eight hundred forty-nine thousand, nine hundred twenty".