2120221211120 has 40 divisors (see below), whose sum is σ = 4930170453360. Its totient is φ = 847975600640.

The previous prime is 2120221211111. The next prime is 2120221211177. The reversal of 2120221211120 is 211121220212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2120221211120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157726 + ... + 2362365.

It is an arithmetic number, because the mean of its divisors is an integer number (123254261334).

Almost surely, 2^{2120221211120} is an apocalyptic number.

2120221211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120221211120 is an abundant number, since it is smaller than the sum of its proper divisors (2809949242240).

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

2120221211120 is a wasteful number, since it uses less digits than its factorization.

2120221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527633 (or 3527627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2120221211120 its reverse (211121220212), we get a palindrome (2331342431332).

The spelling of 2120221211120 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".