120555840 has 224 divisors, whose sum is σ = 414771840. Its totient is φ = 29556736.

The previous prime is 120555839. The next prime is 120555881. The reversal of 120555840 is 48555021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 120555798 and 120555807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354516 + ... + 1354604.

It is an arithmetic number, because the mean of its divisors is an integer number (1851660).

Almost surely, 2^120555840 is an apocalyptic number.

120555840 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 120555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207385920).

120555840 is an abundant number, since it is smaller than the sum of its proper divisors (294216000).

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

120555840 is a wasteful number, since it uses less digits than its factorization.

120555840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 120555840 is about 10979.7923477632. The cubic root of 120555840 is about 494.0028083129.

The spelling of 120555840 in words is "one hundred twenty million, five hundred fifty-five thousand, eight hundred forty".