1320312400000 has 384 divisors, whose sum is σ = 3623286219840. Its totient is φ = 475200000000.

The previous prime is 1320312399971. The next prime is 1320312400019. The reversal of 1320312400000 is 42130231.

It is a happy number.

It is a super-3 number, since 3×1320312400000³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444398515 + ... + 444401485.

Almost surely, 2^{1320312400000} is an apocalyptic number.

1320312400000 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 1320312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811643109920).

1320312400000 is an abundant number, since it is smaller than the sum of its proper divisors (2302973819840).

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

1320312400000 is an equidigital number, since it uses as much as digits as its factorization.

1320312400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1320312400000 its reverse (42130231), we get a palindrome (1320354530231).

The spelling of 1320312400000 in words is "one trillion, three hundred twenty billion, three hundred twelve million, four hundred thousand".