2122131221120 has 64 divisors (see below), whose sum is σ = 5079586566600. Its totient is φ = 847787225088.

The previous prime is 2122131221059. The next prime is 2122131221191. The reversal of 2122131221120 is 211221312212.

It can be written as a sum of positive squares in 4 ways, for example, as 1697100241984 + 425030979136 = 1302728^2 + 651944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2122131221092 and 2122131221101.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1570115 + ... + 2590274.

Almost surely, 2^{2122131221120} is an apocalyptic number.

2122131221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122131221120 is an abundant number, since it is smaller than the sum of its proper divisors (2957455345480).

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

2122131221120 is an equidigital number, since it uses as much as digits as its factorization.

2122131221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161205 (or 4161193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2122131221120 its reverse (211221312212), we get a palindrome (2333352533332).

The spelling of 2122131221120 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".