120314000 has 80 divisors (see below), whose sum is σ = 297897600. Its totient is φ = 46972800.

The previous prime is 120313997. The next prime is 120314017. The reversal of 120314000 is 413021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85301 + ... + 86699.

It is an arithmetic number, because the mean of its divisors is an integer number (3723720).

Almost surely, 2^120314000 is an apocalyptic number.

120314000 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 120314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148948800).

120314000 is an abundant number, since it is smaller than the sum of its proper divisors (177583600).

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

120314000 is a wasteful number, since it uses less digits than its factorization.

120314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120314000 is about 10968.7738603729. The cubic root of 120314000 is about 493.6722571610.

Adding to 120314000 its reverse (413021), we get a palindrome (120727021).

The spelling of 120314000 in words is "one hundred twenty million, three hundred fourteen thousand".