1022220312 has 128 divisors (see below), whose sum is σ = 2708640000. Its totient is φ = 321117696.

The previous prime is 1022220289. The next prime is 1022220313. The reversal of 1022220312 is 2130222201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1022220291 and 1022220300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022220313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5710639 + ... + 5710817.

It is an arithmetic number, because the mean of its divisors is an integer number (21161250).

Almost surely, 2^1022220312 is an apocalyptic number.

1022220312 is a gapful number since it is divisible by the number (12) 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 1022220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354320000).

1022220312 is an abundant number, since it is smaller than the sum of its proper divisors (1686419688).

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

1022220312 is a wasteful number, since it uses less digits than its factorization.

1022220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1022220312 is about 31972.1802822391. The cubic root of 1022220312 is about 1007.3525777723.

Adding to 1022220312 its reverse (2130222201), we get a palindrome (3152442513).

The spelling of 1022220312 in words is "one billion, twenty-two million, two hundred twenty thousand, three hundred twelve".