411001122 has 128 divisors (see below), whose sum is σ = 1055232000. Its totient is φ = 106178688.

The previous prime is 411001111. The next prime is 411001127. The reversal of 411001122 is 221100114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 411001098 and 411001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411001127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899118 + ... + 899574.

It is an arithmetic number, because the mean of its divisors is an integer number (8244000).

Almost surely, 2^411001122 is an apocalyptic number.

411001122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 411001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527616000).

411001122 is an abundant number, since it is smaller than the sum of its proper divisors (644230878).

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

411001122 is a wasteful number, since it uses less digits than its factorization.

411001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 411001122 is about 20273.1626047837. The cubic root of 411001122 is about 743.5000507273.

Adding to 411001122 its reverse (221100114), we get a palindrome (632101236).

It can be divided in two parts, 41100112 and 2, that added together give a palindrome (41100114).

The spelling of 411001122 in words is "four hundred eleven million, one thousand, one hundred twenty-two".