2122112120220 has 144 divisors (see below), whose sum is σ = 6470786649600. Its totient is φ = 562937361408.

The previous prime is 2122112120213. The next prime is 2122112120237. The reversal of 2122112120220 is 220212112212.

It is a happy number.

2122112120220 is a `hidden beast` number, since 21 + 2 + 211 + 212 + 0 + 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 = 2122112120193 and 2122112120202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45565506 + ... + 45612054.

It is an arithmetic number, because the mean of its divisors is an integer number (44936018400).

Almost surely, 2^{2122112120220} is an apocalyptic number.

2122112120220 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 2122112120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235393324800).

2122112120220 is an abundant number, since it is smaller than the sum of its proper divisors (4348674529380).

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

2122112120220 is a wasteful number, since it uses less digits than its factorization.

2122112120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47884 (or 47879 counting only the distinct ones).

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

Adding to 2122112120220 its reverse (220212112212), we get a palindrome (2342324232432).

The spelling of 2122112120220 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty".