326121120 has 192 divisors, whose sum is σ = 1229437440. Its totient is φ = 80262144.

The previous prime is 326121113. The next prime is 326121121. The reversal of 326121120 is 21121623.

326121120 is a `hidden beast` number, since 32 + 612 + 1 + 1 + 20 = 666.

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 = 326121093 and 326121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53257 + ... + 59063.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^326121120 is an apocalyptic number.

326121120 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 326121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614718720).

326121120 is an abundant number, since it is smaller than the sum of its proper divisors (903316320).

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

326121120 is a wasteful number, since it uses less digits than its factorization.

326121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 326121120 is about 18058.8238819697. The cubic root of 326121120 is about 688.3240991491.

Adding to 326121120 its reverse (21121623), we get a palindrome (347242743).

The spelling of 326121120 in words is "three hundred twenty-six million, one hundred twenty-one thousand, one hundred twenty".