1322132400 has 90 divisors (see below), whose sum is σ = 4588179180. Its totient is φ = 352567680.

The previous prime is 1322132389. The next prime is 1322132459. The reversal of 1322132400 is 42312231.

1322132400 is a `hidden beast` number, since 13 + 221 + 32 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×1322132400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180030 + ... + 187229.

Almost surely, 2^1322132400 is an apocalyptic number.

1322132400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322132400 is an abundant number, since it is smaller than the sum of its proper divisors (3266046780).

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

1322132400 is a wasteful number, since it uses less digits than its factorization.

1322132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367283 (or 367269 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1322132400 is about 36361.1385960341. The cubic root of 1322132400 is about 1097.5516897353.

Adding to 1322132400 its reverse (42312231), we get a palindrome (1364444631).

The spelling of 1322132400 in words is "one billion, three hundred twenty-two million, one hundred thirty-two thousand, four hundred".