112133044211400 has 576 divisors, whose sum is σ = 400515633573120. Its totient is φ = 28017484185600.

The previous prime is 112133044211387. The next prime is 112133044211401. The reversal of 112133044211400 is 4112440331211.

It is a happy number.

112133044211400 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 3 + 0 + 44 + 211 + 400 = 666.

It is a super-3 number, since 3×112133044211400³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112133044211401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10516082469 + ... + 10516093131.

It is an arithmetic number, because the mean of its divisors is an integer number (695339641620).

Almost surely, 2^{112133044211400} is an apocalyptic number.

112133044211400 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 112133044211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200257816786560).

112133044211400 is an abundant number, since it is smaller than the sum of its proper divisors (288382589361720).

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

112133044211400 is a wasteful number, since it uses less digits than its factorization.

112133044211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12206 (or 12194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 112133044211400 its reverse (4112440331211), we get a palindrome (116245484542611).

The spelling of 112133044211400 in words is "one hundred twelve trillion, one hundred thirty-three billion, forty-four million, two hundred eleven thousand, four hundred".