120649221 has 144 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 55883520.

The previous prime is 120649189. The next prime is 120649223. The reversal of 120649221 is 122946021.

120649221 is a `hidden beast` number, since 12 + 0 + 649 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 120649221 - 2⁵ = 120649189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120649223) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 6349950 + ... + 6349968.

It is an arithmetic number, because the mean of its divisors is an integer number (1729000).

Almost surely, 2^120649221 is an apocalyptic number.

120649221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120649221 is an abundant number, since it is smaller than the sum of its proper divisors (128326779).

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

120649221 is a wasteful number, since it uses less digits than its factorization.

120649221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120649221 is about 10984.0439274431. The cubic root of 120649221 is about 494.1303247973.

The spelling of 120649221 in words is "one hundred twenty million, six hundred forty-nine thousand, two hundred twenty-one".