112004161200 has 180 divisors, whose sum is σ = 391015108848. Its totient is φ = 29688768000.

The previous prime is 112004161189. The next prime is 112004161231. The reversal of 112004161200 is 2161400211.

112004161200 is a `hidden beast` number, since 1 + 12 + 0 + 0 + 41 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112004161200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 508050 + ... + 694350.

Almost surely, 2^112004161200 is an apocalyptic number.

112004161200 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 112004161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195507554424).

112004161200 is an abundant number, since it is smaller than the sum of its proper divisors (279010947648).

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

112004161200 is a wasteful number, since it uses less digits than its factorization.

112004161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186492 (or 186478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112004161200 its reverse (2161400211), we get a palindrome (114165561411).

The spelling of 112004161200 in words is "one hundred twelve billion, four million, one hundred sixty-one thousand, two hundred".