411123120 has 80 divisors (see below), whose sum is σ = 1298568672. Its totient is φ = 107560960.

The previous prime is 411123109. The next prime is 411123127. The reversal of 411123120 is 21321114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 411123120.

It is not an unprimeable number, because it can be changed into a prime (411123127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441 + ... + 28880.

Almost surely, 2^411123120 is an apocalyptic number.

411123120 is a gapful number since it is divisible by the number (40) 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 411123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649284336).

411123120 is an abundant number, since it is smaller than the sum of its proper divisors (887445552).

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

411123120 is a wasteful number, since it uses less digits than its factorization.

411123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32390 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 411123120 is about 20276.1712362073. The cubic root of 411123120 is about 743.5736081469.

Adding to 411123120 its reverse (21321114), we get a palindrome (432444234).

The spelling of 411123120 in words is "four hundred eleven million, one hundred twenty-three thousand, one hundred twenty".