2121201120000 has 720 divisors, whose sum is σ = 7337655198720. Its totient is φ = 543356928000.

The previous prime is 2121201119977. The next prime is 2121201120001. The reversal of 2121201120000 is 211021212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2121201120001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1474079281 + ... + 1474080719.

It is an arithmetic number, because the mean of its divisors is an integer number (10191187776).

Almost surely, 2^{2121201120000} is an apocalyptic number.

2121201120000 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 2121201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668827599360).

2121201120000 is an abundant number, since it is smaller than the sum of its proper divisors (5216454078720).

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

2121201120000 is an equidigital number, since it uses as much as digits as its factorization.

2121201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2121201120000 its reverse (211021212), we get a palindrome (2121412141212).

The spelling of 2121201120000 in words is "two trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty thousand".