1022221203120 has 320 divisors, whose sum is σ = 3914149478400. Its totient is φ = 243506580480.

The previous prime is 1022221203109. The next prime is 1022221203137. The reversal of 1022221203120 is 213021222201.

1022221203120 is a `hidden beast` number, since 10 + 2 + 222 + 120 + 312 + 0 = 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 = 1022221203093 and 1022221203102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283321 + ... + 1457639.

It is an arithmetic number, because the mean of its divisors is an integer number (12231717120).

Almost surely, 2^{1022221203120} is an apocalyptic number.

1022221203120 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 1022221203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957074739200).

1022221203120 is an abundant number, since it is smaller than the sum of its proper divisors (2891928275280).

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

1022221203120 is a wasteful number, since it uses less digits than its factorization.

1022221203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174385 (or 1174373 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1022221203120 its reverse (213021222201), we get a palindrome (1235242425321).

The spelling of 1022221203120 in words is "one trillion, twenty-two billion, two hundred twenty-one million, two hundred three thousand, one hundred twenty".