120133600 has 72 divisors (see below), whose sum is σ = 306074160. Its totient is φ = 45957120.

The previous prime is 120133597. The next prime is 120133603. The reversal of 120133600 is 6331021.

It is an interprime number because it is at equal distance from previous prime (120133597) and next prime (120133603).

It is a super-3 number, since 3×120133600³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120133603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15136 + ... + 21664.

It is an arithmetic number, because the mean of its divisors is an integer number (4251030).

Almost surely, 2^120133600 is an apocalyptic number.

120133600 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 120133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153037080).

120133600 is an abundant number, since it is smaller than the sum of its proper divisors (185940560).

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

120133600 is a wasteful number, since it uses less digits than its factorization.

120133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 120133600 is about 10960.5474315839. The cubic root of 120133600 is about 493.4253947177.

Adding to 120133600 its reverse (6331021), we get a palindrome (126464621).

The spelling of 120133600 in words is "one hundred twenty million, one hundred thirty-three thousand, six hundred".