112001022497952 has 2304 divisors, whose sum is σ = 423026204590080. Its totient is φ = 27365680742400.

The previous prime is 112001022497951. The next prime is 112001022497971. The reversal of 112001022497952 is 259794220100211.

112001022497952 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 102 + 2 + 497 + 9 + 52 = 666.

112001022497952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112001022497898 and 112001022497907.

It is not an unprimeable number, because it can be changed into a prime (112001022497951) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 180938646699 + ... + 180938647317.

It is an arithmetic number, because the mean of its divisors is an integer number (183605123520).

Almost surely, 2^{112001022497952} is an apocalyptic number.

112001022497952 is a gapful number since it is divisible by the number (12) 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 112001022497952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211513102295040).

112001022497952 is an abundant number, since it is smaller than the sum of its proper divisors (311025182092128).

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

112001022497952 is a wasteful number, since it uses less digits than its factorization.

112001022497952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 112001022497952 in words is "one hundred twelve trillion, one billion, twenty-two million, four hundred ninety-seven thousand, nine hundred fifty-two".