1022121220120 has 256 divisors, whose sum is σ = 3146073799680. Its totient is φ = 288527616000.

The previous prime is 1022121220111. The next prime is 1022121220123. The reversal of 1022121220120 is 210221212201.

It is a happy number.

1022121220120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1022121220094 and 1022121220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121220123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881295 + ... + 2362945.

It is an arithmetic number, because the mean of its divisors is an integer number (12289350780).

Almost surely, 2^{1022121220120} is an apocalyptic number.

1022121220120 is a gapful number since it is divisible by the number (10) 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 1022121220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573036899840).

1022121220120 is an abundant number, since it is smaller than the sum of its proper divisors (2123952579560).

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

1022121220120 is a wasteful number, since it uses less digits than its factorization.

1022121220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481746 (or 481742 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022121220120 its reverse (210221212201), we get a palindrome (1232342432321).

The spelling of 1022121220120 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty".