120404003313000 has 512 divisors, whose sum is σ = 413996118681600. Its totient is φ = 28891265024000.

The previous prime is 120404003312951. The next prime is 120404003313037. The reversal of 120404003313000 is 313300404021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4297212991 + ... + 4297241009.

It is an arithmetic number, because the mean of its divisors is an integer number (808586169300).

Almost surely, 2^{120404003313000} is an apocalyptic number.

120404003313000 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 120404003313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206998059340800).

120404003313000 is an abundant number, since it is smaller than the sum of its proper divisors (293592115368600).

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

120404003313000 is a wasteful number, since it uses less digits than its factorization.

120404003313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29378 (or 29364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120404003313000 its reverse (313300404021), we get a palindrome (120717303717021).

The spelling of 120404003313000 in words is "one hundred twenty trillion, four hundred four billion, three million, three hundred thirteen thousand".