120400305 has 16 divisors (see below), whose sum is σ = 194513280. Its totient is φ = 63589248.

The previous prime is 120400289. The next prime is 120400333. The reversal of 120400305 is 503004021.

It is not a de Polignac number, because 120400305 - 2⁴ = 120400289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37420 + ... + 40509.

It is an arithmetic number, because the mean of its divisors is an integer number (12157080).

Almost surely, 2^120400305 is an apocalyptic number.

120400305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120400305 is a deficient number, since it is larger than the sum of its proper divisors (74112975).

120400305 is a wasteful number, since it uses less digits than its factorization.

120400305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78040.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 120400305 is about 10972.7072776047. The cubic root of 120400305 is about 493.7902711372.

Adding to 120400305 its reverse (503004021), we get a palindrome (623404326).

The spelling of 120400305 in words is "one hundred twenty million, four hundred thousand, three hundred five".