120405363 has 32 divisors (see below), whose sum is σ = 178930752. Its totient is φ = 71539200.

The previous prime is 120405359. The next prime is 120405367. The reversal of 120405363 is 363504021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120405359) and next prime (120405367).

It is not a de Polignac number, because 120405363 - 2² = 120405359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120405367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260953 + ... + 261413.

It is an arithmetic number, because the mean of its divisors is an integer number (5591586).

Almost surely, 2^120405363 is an apocalyptic number.

120405363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

120405363 is a deficient number, since it is larger than the sum of its proper divisors (58525389).

120405363 is a wasteful number, since it uses less digits than its factorization.

120405363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 120405363 is about 10972.9377561344. The cubic root of 120405363 is about 493.7971857271.

Adding to 120405363 its reverse (363504021), we get a palindrome (483909384).

The spelling of 120405363 in words is "one hundred twenty million, four hundred five thousand, three hundred sixty-three".