120355200 has 384 divisors, whose sum is σ = 505920000. Its totient is φ = 27371520.

The previous prime is 120355199. The next prime is 120355201. The reversal of 120355200 is 2553021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120355199) and next prime (120355201).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120355201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604701 + ... + 604899.

It is an arithmetic number, because the mean of its divisors is an integer number (1317500).

Almost surely, 2^120355200 is an apocalyptic number.

120355200 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 120355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960000).

120355200 is an abundant number, since it is smaller than the sum of its proper divisors (385564800).

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

120355200 is a wasteful number, since it uses less digits than its factorization.

120355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 120355200 is about 10970.6517582138. The cubic root of 120355200 is about 493.7286013265.

The spelling of 120355200 in words is "one hundred twenty million, three hundred fifty-five thousand, two hundred".