2112133122000 has 480 divisors, whose sum is σ = 8243926104960. Its totient is φ = 499541760000.

The previous prime is 2112133121981. The next prime is 2112133122019. The reversal of 2112133122000 is 2213312112.

2112133122000 is a `hidden beast` number, since 2 + 112 + 1 + 331 + 220 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2112133121981) and next prime (2112133122019).

It is a super-2 number, since 2×2112133122000² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7987911 + ... + 8248089.

It is an arithmetic number, because the mean of its divisors is an integer number (17174846052).

Almost surely, 2^{2112133122000} is an apocalyptic number.

2112133122000 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 2112133122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121963052480).

2112133122000 is an abundant number, since it is smaller than the sum of its proper divisors (6131792982960).

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

2112133122000 is a wasteful number, since it uses less digits than its factorization.

2112133122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260260 (or 260241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2112133122000 its reverse (2213312112), we get a palindrome (2114346434112).

The spelling of 2112133122000 in words is "two trillion, one hundred twelve billion, one hundred thirty-three million, one hundred twenty-two thousand".