120353364 has 60 divisors (see below), whose sum is σ = 325502100. Its totient is φ = 38731392.

The previous prime is 120353351. The next prime is 120353383. The reversal of 120353364 is 463353021.

It is a happy number.

120353364 is a `hidden beast` number, since 120 + 3 + 533 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 70056900 = 7092^2 + 8370^2 .

It is a super-2 number, since 2×120353364² = 28969864452232992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2992 + ... + 15800.

It is an arithmetic number, because the mean of its divisors is an integer number (5425035).

Almost surely, 2^120353364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120353364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751050).

120353364 is an abundant number, since it is smaller than the sum of its proper divisors (205148736).

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

120353364 is a wasteful number, since it uses less digits than its factorization.

120353364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 120353364 is about 10970.5680800950. The cubic root of 120353364 is about 493.7260907292.

The spelling of 120353364 in words is "one hundred twenty million, three hundred fifty-three thousand, three hundred sixty-four".