120142008 has 128 divisors (see below), whose sum is σ = 384384000. Its totient is φ = 34058880.

The previous prime is 120142007. The next prime is 120142021. The reversal of 120142008 is 800241021.

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 (120142003) 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 31 ways as a sum of consecutive naturals, for example, 273453 + ... + 273891.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2^120142008 is an apocalyptic number.

120142008 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 120142008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192192000).

120142008 is an abundant number, since it is smaller than the sum of its proper divisors (264241992).

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

120142008 is a wasteful number, since it uses less digits than its factorization.

120142008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 120142008 is about 10960.9309823573. The cubic root of 120142008 is about 493.4369058573.

Adding to 120142008 its reverse (800241021), we get a palindrome (920383029).

The spelling of 120142008 in words is "one hundred twenty million, one hundred forty-two thousand, eight".