332030301120 has 336 divisors, whose sum is σ = 1353538088448. Its totient is φ = 75892515840.

The previous prime is 332030301067. The next prime is 332030301143. The reversal of 332030301120 is 21103030233.

332030301120 is a `hidden beast` number, since 3 + 320 + 30 + 301 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×332030301120² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332030301093 and 332030301102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239325 + ... + 849315.

It is an arithmetic number, because the mean of its divisors is an integer number (4028387168).

Almost surely, 2^332030301120 is an apocalyptic number.

332030301120 is a gapful number since it is divisible by the number (30) 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 332030301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676769044224).

332030301120 is an abundant number, since it is smaller than the sum of its proper divisors (1021507787328).

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

332030301120 is an equidigital number, since it uses as much as digits as its factorization.

332030301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610030 (or 610008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332030301120 its reverse (21103030233), we get a palindrome (353133331353).

The spelling of 332030301120 in words is "three hundred thirty-two billion, thirty million, three hundred one thousand, one hundred twenty".