1022211202320 has 640 divisors, whose sum is σ = 4397289984000. Its totient is φ = 212043018240.

The previous prime is 1022211202289. The next prime is 1022211202391. The reversal of 1022211202320 is 232021122201.

1022211202320 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 120 + 2 + 320 = 666.

It is a super-3 number, since 3×1022211202320³ (a number of 37 digits) contains 333 as substring.

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 = 1022211202293 and 1022211202302.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102947116 + ... + 102957044.

It is an arithmetic number, because the mean of its divisors is an integer number (6870765600).

Almost surely, 2^{1022211202320} is an apocalyptic number.

1022211202320 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 1022211202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198644992000).

1022211202320 is an abundant number, since it is smaller than the sum of its proper divisors (3375078781680).

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

1022211202320 is a wasteful number, since it uses less digits than its factorization.

1022211202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10588 (or 10576 counting only the distinct ones).

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

Adding to 1022211202320 its reverse (232021122201), we get a palindrome (1254232324521).

The spelling of 1022211202320 in words is "one trillion, twenty-two billion, two hundred eleven million, two hundred two thousand, three hundred twenty".