1322114304 has 144 divisors (see below), whose sum is σ = 4071255552. Its totient is φ = 373069824.

The previous prime is 1322114281. The next prime is 1322114317. The reversal of 1322114304 is 4034112231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444727 + ... + 447689.

It is an arithmetic number, because the mean of its divisors is an integer number (28272608).

Almost surely, 2^1322114304 is an apocalyptic number.

1322114304 is a gapful number since it is divisible by the number (14) 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 1322114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035627776).

1322114304 is an abundant number, since it is smaller than the sum of its proper divisors (2749141248).

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

1322114304 is an equidigital number, since it uses as much as digits as its factorization.

1322114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1322114304 is about 36360.8897580904. The cubic root of 1322114304 is about 1097.5466823231.

Adding to 1322114304 its reverse (4034112231), we get a palindrome (5356226535).

The spelling of 1322114304 in words is "one billion, three hundred twenty-two million, one hundred fourteen thousand, three hundred four".