220122122000121 has 48 divisors (see below), whose sum is σ = 347184154437120. Its totient is φ = 133282384738560.

The previous prime is 220122122000093. The next prime is 220122122000353. The reversal of 220122122000121 is 121000221221022.

It is a happy number.

220122122000121 is a `hidden beast` number, since 2 + 201 + 221 + 220 + 0 + 0 + 1 + 21 = 666.

It is not a de Polignac number, because 220122122000121 - 2¹⁸ = 220122121737977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220122122000094 and 220122122000103.

It is not an unprimeable number, because it can be changed into a prime (220122122400121) 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, 455340280 + ... + 455823446.

It is an arithmetic number, because the mean of its divisors is an integer number (7233003217440).

Almost surely, 2^{220122122000121} is an apocalyptic number.

It is an amenable number.

220122122000121 is a deficient number, since it is larger than the sum of its proper divisors (127062032436999).

220122122000121 is a wasteful number, since it uses less digits than its factorization.

220122122000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487486 (or 487483 counting only the distinct ones).

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

Adding to 220122122000121 its reverse (121000221221022), we get a palindrome (341122343221143).

The spelling of 220122122000121 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.