2120122122120 has 128 divisors (see below), whose sum is σ = 7067828966400. Its totient is φ = 565305481728.

The previous prime is 2120122122091. The next prime is 2120122122127. The reversal of 2120122122120 is 212212210212.

It is a happy number.

2120122122120 is a `hidden beast` number, since 2 + 1 + 201 + 221 + 221 + 20 = 666.

It is a super-2 number, since 2×2120122122120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120122122093 and 2120122122102.

It is not an unprimeable number, because it can be changed into a prime (2120122122127) 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 31 ways as a sum of consecutive naturals, for example, 10502377 + ... + 10702343.

It is an arithmetic number, because the mean of its divisors is an integer number (55217413800).

Almost surely, 2^{2120122122120} is an apocalyptic number.

2120122122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120122122120 is an abundant number, since it is smaller than the sum of its proper divisors (4947706844280).

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

2120122122120 is a wasteful number, since it uses less digits than its factorization.

2120122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209804 (or 209794 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120122122120 its reverse (212212210212), we get a palindrome (2332334332332).

The spelling of 2120122122120 in words is "two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".