1322022400 has 120 divisors (see below), whose sum is σ = 3299420520. Its totient is φ = 524943360.

The previous prime is 1322022379. The next prime is 1322022473. The reversal of 1322022400 is 42202231.

It is a super-2 number, since 2×1322022400² = 3495486452203520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2290912 + ... + 2291488.

It is an arithmetic number, because the mean of its divisors is an integer number (27495171).

Almost surely, 2^1322022400 is an apocalyptic number.

1322022400 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 1322022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649710260).

1322022400 is an abundant number, since it is smaller than the sum of its proper divisors (1977398120).

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

1322022400 is an equidigital number, since it uses as much as digits as its factorization.

1322022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1322022400 is about 36359.6259606724. The cubic root of 1322022400 is about 1097.5212505160.

Adding to 1322022400 its reverse (42202231), we get a palindrome (1364224631).

The spelling of 1322022400 in words is "one billion, three hundred twenty-two million, twenty-two thousand, four hundred".