120945825 has 192 divisors, whose sum is σ = 299980800. Its totient is φ = 46137600.

The previous prime is 120945823. The next prime is 120945883. The reversal of 120945825 is 528549021.

It is not a de Polignac number, because 120945825 - 2¹ = 120945823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120945825.

It is not an unprimeable number, because it can be changed into a prime (120945823) 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, 675586 + ... + 675764.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^120945825 is an apocalyptic number.

120945825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120945825 is an abundant number, since it is smaller than the sum of its proper divisors (179034975).

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

120945825 is a wasteful number, since it uses less digits than its factorization.

120945825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 120945825 is about 10997.5372243062. The cubic root of 120945825 is about 494.5349166975.

The spelling of 120945825 in words is "one hundred twenty million, nine hundred forty-five thousand, eight hundred twenty-five".