120607200 has 216 divisors, whose sum is σ = 486250128. Its totient is φ = 27555840.

The previous prime is 120607183. The next prime is 120607211. The reversal of 120607200 is 2706021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 49204 + ... + 51596.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^120607200 is an apocalyptic number.

120607200 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 120607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

120607200 is an abundant number, since it is smaller than the sum of its proper divisors (365642928).

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

120607200 is a wasteful number, since it uses less digits than its factorization.

120607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 120607200 is about 10982.1309407601. The cubic root of 120607200 is about 494.0729511392.

The spelling of 120607200 in words is "one hundred twenty million, six hundred seven thousand, two hundred".