1320311221200 has 240 divisors, whose sum is σ = 4700667074560. Its totient is φ = 351982817280.

The previous prime is 1320311221139. The next prime is 1320311221223. The reversal of 1320311221200 is 21221130231.

1320311221200 is a `hidden beast` number, since 1 + 320 + 311 + 22 + 12 + 0 + 0 = 666.

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

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

It is a congruent number.

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, 42828192 + ... + 42859008.

Almost surely, 2^{1320311221200} is an apocalyptic number.

1320311221200 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 1320311221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350333537280).

1320311221200 is an abundant number, since it is smaller than the sum of its proper divisors (3380355853360).

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

1320311221200 is a wasteful number, since it uses less digits than its factorization.

1320311221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34811 (or 34794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1320311221200 its reverse (21221130231), we get a palindrome (1341532351431).

The spelling of 1320311221200 in words is "one trillion, three hundred twenty billion, three hundred eleven million, two hundred twenty-one thousand, two hundred".