1022221333120 has 128 divisors (see below), whose sum is σ = 2632309883280. Its totient is φ = 377352192000.

The previous prime is 1022221333099. The next prime is 1022221333127. The reversal of 1022221333120 is 213331222201.

It can be written as a sum of positive squares in 8 ways, for example, as 130586831424 + 891634501696 = 361368^2 + 944264^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1022221333091 and 1022221333100.

It is not an unprimeable number, because it can be changed into a prime (1022221333127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47754420 + ... + 47775820.

Almost surely, 2^{1022221333120} is an apocalyptic number.

1022221333120 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 1022221333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316154941640).

1022221333120 is an abundant number, since it is smaller than the sum of its proper divisors (1610088550160).

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

1022221333120 is a wasteful number, since it uses less digits than its factorization.

1022221333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27174 (or 27162 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1022221333120 its reverse (213331222201), we get a palindrome (1235552555321).

The spelling of 1022221333120 in words is "one trillion, twenty-two billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred twenty".