112005299952 has 960 divisors, whose sum is σ = 431572377600. Its totient is φ = 26824089600.

The previous prime is 112005299947. The next prime is 112005299993. The reversal of 112005299952 is 259992500211.

112005299952 is a `hidden beast` number, since 11 + 20 + 0 + 529 + 9 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112005299898 and 112005299907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338384427 + ... + 338384757.

It is an arithmetic number, because the mean of its divisors is an integer number (449554560).

Almost surely, 2^112005299952 is an apocalyptic number.

112005299952 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 112005299952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215786188800).

112005299952 is an abundant number, since it is smaller than the sum of its proper divisors (319567077648).

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

112005299952 is a wasteful number, since it uses less digits than its factorization.

112005299952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 112005299952 in words is "one hundred twelve billion, five million, two hundred ninety-nine thousand, nine hundred fifty-two".