1022120441320 has 128 divisors (see below), whose sum is σ = 2535384551040. Its totient is φ = 367759114240.

The previous prime is 1022120441317. The next prime is 1022120441387. The reversal of 1022120441320 is 231440212201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1022120441291 and 1022120441300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29466627 + ... + 29501293.

It is an arithmetic number, because the mean of its divisors is an integer number (19807691805).

Almost surely, 2^{1022120441320} is an apocalyptic number.

1022120441320 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 1022120441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267692275520).

1022120441320 is an abundant number, since it is smaller than the sum of its proper divisors (1513264109720).

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

1022120441320 is a wasteful number, since it uses less digits than its factorization.

1022120441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35395 (or 35391 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1022120441320 its reverse (231440212201), we get a palindrome (1253560653521).

The spelling of 1022120441320 in words is "one trillion, twenty-two billion, one hundred twenty million, four hundred forty-one thousand, three hundred twenty".