2133111121200 has 300 divisors, whose sum is σ = 7725811967280. Its totient is φ = 563610078720.

The previous prime is 2133111121181. The next prime is 2133111121241. The reversal of 2133111121200 is 21211113312.

2133111121200 is a `hidden beast` number, since 2 + 1 + 331 + 11 + 121 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3229597 + ... + 3833603.

Almost surely, 2^{2133111121200} is an apocalyptic number.

2133111121200 is a gapful number since it is divisible by the number (20) 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 2133111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862905983640).

2133111121200 is an abundant number, since it is smaller than the sum of its proper divisors (5592700846080).

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

2133111121200 is a wasteful number, since it uses less digits than its factorization.

2133111121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604146 (or 604126 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2133111121200 its reverse (21211113312), we get a palindrome (2154322234512).

The spelling of 2133111121200 in words is "two trillion, one hundred thirty-three billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".