112004352 has 108 divisors (see below), whose sum is σ = 325958724. Its totient is φ = 36986880.

The previous prime is 112004329. The next prime is 112004377. The reversal of 112004352 is 253400211.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 21678336 = 9504^2 + 4656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398452 + ... + 398732.

Almost surely, 2^112004352 is an apocalyptic number.

112004352 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 112004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162979362).

112004352 is an abundant number, since it is smaller than the sum of its proper divisors (213954372).

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

112004352 is a wasteful number, since it uses less digits than its factorization.

112004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112004352 is about 10583.2108549343. The cubic root of 112004352 is about 482.0346961703.

Adding to 112004352 its reverse (253400211), we get a palindrome (365404563).

The spelling of 112004352 in words is "one hundred twelve million, four thousand, three hundred fifty-two".