120853200 has 240 divisors, whose sum is σ = 427083776. Its totient is φ = 29030400.

The previous prime is 120853151. The next prime is 120853207. The reversal of 120853200 is 2358021.

120853200 = T₁₉₆₀ + T₁₉₆₁ + ... + T₂₀₂₀.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120853207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951537 + ... + 951663.

Almost surely, 2^120853200 is an apocalyptic number.

120853200 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 120853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213541888).

120853200 is an abundant number, since it is smaller than the sum of its proper divisors (306230576).

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

120853200 is a wasteful number, since it uses less digits than its factorization.

120853200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120853200 is about 10993.3252476218. The cubic root of 120853200 is about 494.4086397879.

The spelling of 120853200 in words is "one hundred twenty million, eight hundred fifty-three thousand, two hundred".