120314007 has 48 divisors (see below), whose sum is σ = 197683200. Its totient is φ = 69854400.

The previous prime is 120313997. The next prime is 120314017. The reversal of 120314007 is 700413021.

It is an interprime number because it is at equal distance from previous prime (120313997) and next prime (120314017).

It is not a de Polignac number, because 120314007 - 2¹⁸ = 120051863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120314017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604494 + ... + 604692.

It is an arithmetic number, because the mean of its divisors is an integer number (4118400).

Almost surely, 2^120314007 is an apocalyptic number.

120314007 is a deficient number, since it is larger than the sum of its proper divisors (77369193).

120314007 is a wasteful number, since it uses less digits than its factorization.

120314007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120314007 is about 10968.7741794605. The cubic root of 120314007 is about 493.6722667351.

Adding to 120314007 its reverse (700413021), we get a palindrome (820727028).

The spelling of 120314007 in words is "one hundred twenty million, three hundred fourteen thousand, seven".