1022211334320 has 320 divisors, whose sum is σ = 3552704755200. Its totient is φ = 240952320000.

The previous prime is 1022211334297. The next prime is 1022211334409. The reversal of 1022211334320 is 234331122201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219875356 + ... + 219880004.

It is an arithmetic number, because the mean of its divisors is an integer number (11102202360).

Almost surely, 2^{1022211334320} is an apocalyptic number.

1022211334320 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 1022211334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776352377600).

1022211334320 is an abundant number, since it is smaller than the sum of its proper divisors (2530493420880).

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

1022211334320 is a wasteful number, since it uses less digits than its factorization.

1022211334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6958 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1022211334320 its reverse (234331122201), we get a palindrome (1256542456521).

It can be divided in two parts, 1022211 and 334320, that added together give a palindrome (1356531).

The spelling of 1022211334320 in words is "one trillion, twenty-two billion, two hundred eleven million, three hundred thirty-four thousand, three hundred twenty".