120094800 has 360 divisors, whose sum is σ = 482129856. Its totient is φ = 24944640.

The previous prime is 120094769. The next prime is 120094811. The reversal of 120094800 is 8490021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4141186 + ... + 4141214.

Almost surely, 2^120094800 is an apocalyptic number.

120094800 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 120094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241064928).

120094800 is an abundant number, since it is smaller than the sum of its proper divisors (362035056).

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

120094800 is a wasteful number, since it uses less digits than its factorization.

120094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 120094800 is about 10958.7773040609. Note that the first 3 decimals coincide. The cubic root of 120094800 is about 493.3722678467.

The spelling of 120094800 in words is "one hundred twenty million, ninety-four thousand, eight hundred".