120301200 has 300 divisors, whose sum is σ = 446519040. Its totient is φ = 31000320.

The previous prime is 120301189. The next prime is 120301213. The reversal of 120301200 is 2103021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1522761 + ... + 1522839.

Almost surely, 2^120301200 is an apocalyptic number.

120301200 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 120301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223259520).

120301200 is an abundant number, since it is smaller than the sum of its proper divisors (326217840).

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

120301200 is a wasteful number, since it uses less digits than its factorization.

120301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120301200 is about 10968.1903703391. The cubic root of 120301200 is about 493.6547495587.

Adding to 120301200 its reverse (2103021), we get a palindrome (122404221).

The spelling of 120301200 in words is "one hundred twenty million, three hundred one thousand, two hundred".