1320111344400 has 240 divisors, whose sum is σ = 4278591384768. Its totient is φ = 347897088000.

The previous prime is 1320111344393. The next prime is 1320111344401. The reversal of 1320111344400 is 44431110231.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1320111344400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1320111344401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54044190 + ... + 54068610.

Almost surely, 2^{1320111344400} is an apocalyptic number.

1320111344400 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 1320111344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139295692384).

1320111344400 is an abundant number, since it is smaller than the sum of its proper divisors (2958480040368).

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

1320111344400 is a wasteful number, since it uses less digits than its factorization.

1320111344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24970 (or 24959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1320111344400 its reverse (44431110231), we get a palindrome (1364542454631).

The spelling of 1320111344400 in words is "one trillion, three hundred twenty billion, one hundred eleven million, three hundred forty-four thousand, four hundred".