1220121112122 has 96 divisors (see below), whose sum is σ = 3039063505920. Its totient is φ = 349886835360.

The previous prime is 1220121112121. The next prime is 1220121112157. The reversal of 1220121112122 is 2212111210221.

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 = 1220121112095 and 1220121112104.

It is not an unprimeable number, because it can be changed into a prime (1220121112121) 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 47 ways as a sum of consecutive naturals, for example, 3233343 + ... + 3590925.

It is an arithmetic number, because the mean of its divisors is an integer number (31656911520).

Almost surely, 2^{1220121112122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220121112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519531752960).

1220121112122 is an abundant number, since it is smaller than the sum of its proper divisors (1818942393798).

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

1220121112122 is a wasteful number, since it uses less digits than its factorization.

1220121112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358528 (or 358525 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1220121112122 its reverse (2212111210221), we get a palindrome (3432232322343).

The spelling of 1220121112122 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".