411202120 has 256 divisors, whose sum is σ = 1197504000. Its totient is φ = 126443520.

The previous prime is 411202117. The next prime is 411202139. The reversal of 411202120 is 21202114.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 411202120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9562819 + ... + 9562861.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2^411202120 is an apocalyptic number.

411202120 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 411202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

411202120 is an abundant number, since it is smaller than the sum of its proper divisors (786301880).

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

411202120 is a wasteful number, since it uses less digits than its factorization.

411202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 411202120 is about 20278.1192421783. The cubic root of 411202120 is about 743.6212326094.

Adding to 411202120 its reverse (21202114), we get a palindrome (432404234).

The spelling of 411202120 in words is "four hundred eleven million, two hundred two thousand, one hundred twenty".