412124100 has 72 divisors (see below), whose sum is σ = 1195236000. Its totient is φ = 109639680.

The previous prime is 412124099. The next prime is 412124101. The reversal of 412124100 is 1421214.

It is an interprime number because it is at equal distance from previous prime (412124099) and next prime (412124101).

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 412124100.

It is not an unprimeable number, because it can be changed into a prime (412124101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148324 + ... + 151076.

It is an arithmetic number, because the mean of its divisors is an integer number (16600500).

Almost surely, 2^412124100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597618000).

412124100 is an abundant number, since it is smaller than the sum of its proper divisors (783111900).

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

412124100 is a wasteful number, since it uses less digits than its factorization.

412124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 412124100 is about 20300.8398841033. The cubic root of 412124100 is about 744.1765897743.

Adding to 412124100 its reverse (1421214), we get a palindrome (413545314).

The spelling of 412124100 in words is "four hundred twelve million, one hundred twenty-four thousand, one hundred".