120306336 has 48 divisors (see below), whose sum is σ = 320148864. Its totient is φ = 39550464.

The previous prime is 120306313. The next prime is 120306337. The reversal of 120306336 is 633603021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×120306336² = 28947228963489792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120306337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1576 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (6669768).

Almost surely, 2^120306336 is an apocalyptic number.

120306336 is a gapful number since it is divisible by the number (16) 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 120306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160074432).

120306336 is an abundant number, since it is smaller than the sum of its proper divisors (199842528).

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

120306336 is a wasteful number, since it uses less digits than its factorization.

120306336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17253 (or 17245 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 120306336 is about 10968.4244994438. The cubic root of 120306336 is about 493.6617746333.

Adding to 120306336 its reverse (633603021), we get a palindrome (753909357).

The spelling of 120306336 in words is "one hundred twenty million, three hundred six thousand, three hundred thirty-six".