120008016 has 30 divisors (see below), whose sum is σ = 335856170. Its totient is φ = 40002624.

The previous prime is 120008011. The next prime is 120008017. The reversal of 120008016 is 610800021.

It can be written as a sum of positive squares in only one way, i.e., 104040000 + 15968016 = 10200^2 + 3996^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120008016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120008011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 416551 + ... + 416838.

Almost surely, 2^120008016 is an apocalyptic number.

120008016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120008016 is an abundant number, since it is smaller than the sum of its proper divisors (215848154).

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

120008016 is a wasteful number, since it uses less digits than its factorization.

120008016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833403 (or 833394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120008016 is about 10954.8170226618. The cubic root of 120008016 is about 493.2533974860.

Adding to 120008016 its reverse (610800021), we get a palindrome (730808037).

The spelling of 120008016 in words is "one hundred twenty million, eight thousand, sixteen".