120120000 has 560 divisors, whose sum is σ = 533229312. Its totient is φ = 23040000.

The previous prime is 120119999. The next prime is 120120031. The reversal of 120120000 is 21021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 650 × 330 × 560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9239994 + ... + 9240006.

Almost surely, 2^120120000 is an apocalyptic number.

120120000 is a gapful number since it is divisible by the number (10) 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 120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266614656).

120120000 is an abundant number, since it is smaller than the sum of its proper divisors (413109312).

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

120120000 is a wasteful number, since it uses less digits than its factorization.

120120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120120000 is about 10959.9270070562. The cubic root of 120120000 is about 493.4067742301.

Adding to 120120000 its reverse (21021), we get a palindrome (120141021).

The spelling of 120120000 in words is "one hundred twenty million, one hundred twenty thousand".