1327112400 has 120 divisors (see below), whose sum is σ = 4263611040. Its totient is φ = 352862720.

The previous prime is 1327112363. The next prime is 1327112407. The reversal of 1327112400 is 42117231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1327112400² = 3522454644467520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327112407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465379 + ... + 468221.

It is an arithmetic number, because the mean of its divisors is an integer number (35530092).

Almost surely, 2^1327112400 is an apocalyptic number.

1327112400 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 1327112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131805520).

1327112400 is an abundant number, since it is smaller than the sum of its proper divisors (2936498640).

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

1327112400 is a wasteful number, since it uses less digits than its factorization.

1327112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1327112400 is about 36429.5539363303. The cubic root of 1327112400 is about 1098.9279914226.

Adding to 1327112400 its reverse (42117231), we get a palindrome (1369229631).

The spelling of 1327112400 in words is "one billion, three hundred twenty-seven million, one hundred twelve thousand, four hundred".