2122121122000 has 160 divisors (see below), whose sum is σ = 5727952923264. Its totient is φ = 753734016000.

The previous prime is 2122121121983. The next prime is 2122121122007. The reversal of 2122121122000 is 2211212212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122121122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175629 + ... + 2067628.

Almost surely, 2^{2122121122000} is an apocalyptic number.

2122121122000 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 2122121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863976461632).

2122121122000 is an abundant number, since it is smaller than the sum of its proper divisors (3605831801264).

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

2122121122000 is a wasteful number, since it uses less digits than its factorization.

2122121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243334 (or 2243318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122121122000 its reverse (2211212212), we get a palindrome (2124332334212).

The spelling of 2122121122000 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand".