120007008 has 288 divisors, whose sum is σ = 409473792. Its totient is φ = 34214400.

The previous prime is 120007001. The next prime is 120007033. The reversal of 120007008 is 800700021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×120007008² = 28803363938224128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120007001) 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, 1967298 + ... + 1967358.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^120007008 is an apocalyptic number.

120007008 is a gapful number since it is divisible by the number (18) 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 120007008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

120007008 is an abundant number, since it is smaller than the sum of its proper divisors (289466784).

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

120007008 is a wasteful number, since it uses less digits than its factorization.

120007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 120007008 is about 10954.7710154069. The cubic root of 120007008 is about 493.2520164649.

Adding to 120007008 its reverse (800700021), we get a palindrome (920707029).

The spelling of 120007008 in words is "one hundred twenty million, seven thousand, eight".