12078704593920 has 704 divisors, whose sum is σ = 39883534718976. Its totient is φ = 3118800568320.

The previous prime is 12078704593903. The next prime is 12078704593937. The reversal of 12078704593920 is 2939540787021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12078704593903) and next prime (12078704593937).

It is a super-2 number, since 2×12078704593920² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 24802267917 + ... + 24802268403.

Almost surely, 2^{12078704593920} is an apocalyptic number.

12078704593920 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 12078704593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19941767359488).

12078704593920 is an abundant number, since it is smaller than the sum of its proper divisors (27804830125056).

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

12078704593920 is a wasteful number, since it uses less digits than its factorization.

12078704593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 12078704593920 in words is "twelve trillion, seventy-eight billion, seven hundred four million, five hundred ninety-three thousand, nine hundred twenty".