1322880000 has 440 divisors, whose sum is σ = 4834489968. Its totient is φ = 319488000.

The previous prime is 1322879953. The next prime is 1322880059. The reversal of 1322880000 is 882231.

It is a super-2 number, since 2×1322880000² = 3500022988800000000, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 24959974 + ... + 24960026.

Almost surely, 2^1322880000 is an apocalyptic number.

1322880000 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 1322880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417244984).

1322880000 is an abundant number, since it is smaller than the sum of its proper divisors (3511609968).

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

1322880000 is an equidigital number, since it uses as much as digits as its factorization.

1322880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1322880000 is about 36371.4173493418. The cubic root of 1322880000 is about 1097.7585210218.

The spelling of 1322880000 in words is "one billion, three hundred twenty-two million, eight hundred eighty thousand".