2122012012000 has 768 divisors, whose sum is σ = 5937181286400. Its totient is φ = 741320294400.

The previous prime is 2122012011967. The next prime is 2122012012031. The reversal of 2122012012000 is 2102102212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9266427886 + ... + 9266428114.

It is an arithmetic number, because the mean of its divisors is an integer number (7730704800).

Almost surely, 2^{2122012012000} is an apocalyptic number.

2122012012000 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 2122012012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968590643200).

2122012012000 is an abundant number, since it is smaller than the sum of its proper divisors (3815169274400).

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

2122012012000 is a wasteful number, since it uses less digits than its factorization.

2122012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2122012012000 its reverse (2102102212), we get a palindrome (2124114114212).

The spelling of 2122012012000 in words is "two trillion, one hundred twenty-two billion, twelve million, twelve thousand".