120554040 has 128 divisors (see below), whose sum is σ = 389836800. Its totient is φ = 29736960.

The previous prime is 120554039. The next prime is 120554059. The reversal of 120554040 is 40455021.

It is a junction number, because it is equal to n+sod(n) for n = 120553998 and 120554016.

It is a congruent number.

It is an unprimeable number.

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, 84856 + ... + 86264.

It is an arithmetic number, because the mean of its divisors is an integer number (3045600).

Almost surely, 2^120554040 is an apocalyptic number.

120554040 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 120554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194918400).

120554040 is an abundant number, since it is smaller than the sum of its proper divisors (269282760).

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

120554040 is a wasteful number, since it uses less digits than its factorization.

120554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 120554040 is about 10979.7103786940. The cubic root of 120554040 is about 494.0003496749. Note that the first 3 decimals are identical.

The spelling of 120554040 in words is "one hundred twenty million, five hundred fifty-four thousand, forty".