2120112122220 has 144 divisors (see below), whose sum is σ = 6645174681600. Its totient is φ = 546572188800.

The previous prime is 2120112122207. The next prime is 2120112122221. The reversal of 2120112122220 is 222212110212.

It is a happy number.

2120112122220 is a `hidden beast` number, since 212 + 0 + 112 + 122 + 220 = 666.

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 = 2120112122193 and 2120112122202.

It is not an unprimeable number, because it can be changed into a prime (2120112122221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5338081 + ... + 5721479.

It is an arithmetic number, because the mean of its divisors is an integer number (46147046400).

Almost surely, 2^{2120112122220} is an apocalyptic number.

2120112122220 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 2120112122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322587340800).

2120112122220 is an abundant number, since it is smaller than the sum of its proper divisors (4525062559380).

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

2120112122220 is a wasteful number, since it uses less digits than its factorization.

2120112122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384436 (or 384431 counting only the distinct ones).

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

Adding to 2120112122220 its reverse (222212110212), we get a palindrome (2342324232432).

The spelling of 2120112122220 in words is "two trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".