1112200034400 has 864 divisors, whose sum is σ = 4881439442880. Its totient is φ = 232013168640.

The previous prime is 1112200034399. The next prime is 1112200034411. The reversal of 1112200034400 is 44300022111.

1112200034400 is a `hidden beast` number, since 1 + 1 + 1 + 220 + 0 + 0 + 3 + 440 + 0 = 666.

It is a super-2 number, since 2×1112200034400² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 58303264 + ... + 58322336.

It is an arithmetic number, because the mean of its divisors is an integer number (5649814170).

Almost surely, 2^{1112200034400} is an apocalyptic number.

1112200034400 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 1112200034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440719721440).

1112200034400 is an abundant number, since it is smaller than the sum of its proper divisors (3769239408480).

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

1112200034400 is a wasteful number, since it uses less digits than its factorization.

1112200034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19208 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1112200034400 its reverse (44300022111), we get a palindrome (1156500056511).

The spelling of 1112200034400 in words is "one trillion, one hundred twelve billion, two hundred million, thirty-four thousand, four hundred".