1320270778008 has 768 divisors, whose sum is σ = 4770284400000. Its totient is φ = 334959722496.

The previous prime is 1320270777971. The next prime is 1320270778009. The reversal of 1320270778008 is 8008770720231.

It is a happy number.

It is a super-2 number, since 2×1320270778008² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320270778009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1631978308 + ... + 1631979116.

Almost surely, 2^{1320270778008} is an apocalyptic number.

1320270778008 is a gapful number since it is divisible by the number (18) 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 1320270778008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385142200000).

1320270778008 is an abundant number, since it is smaller than the sum of its proper divisors (3450013621992).

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

1320270778008 is a wasteful number, since it uses less digits than its factorization.

1320270778008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 1320270778008 in words is "one trillion, three hundred twenty billion, two hundred seventy million, seven hundred seventy-eight thousand, eight".