120054825 has 192 divisors, whose sum is σ = 271411200. Its totient is φ = 51321600.

The previous prime is 120054817. The next prime is 120054829. The reversal of 120054825 is 528450021.

It is a happy number.

It is not a de Polignac number, because 120054825 - 2³ = 120054817 is a prime.

It is a super-2 number, since 2×120054825² = 28826322011561250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120054829) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3244707 + ... + 3244743.

It is an arithmetic number, because the mean of its divisors is an integer number (1413600).

Almost surely, 2^120054825 is an apocalyptic number.

120054825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120054825 is an abundant number, since it is smaller than the sum of its proper divisors (151356375).

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

120054825 is a wasteful number, since it uses less digits than its factorization.

120054825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 120054825 is about 10956.9532717813. The cubic root of 120054825 is about 493.3175201388.

The spelling of 120054825 in words is "one hundred twenty million, fifty-four thousand, eight hundred twenty-five".