4121412100 has 144 divisors (see below), whose sum is σ = 9865649808. Its totient is φ = 1485250560.

The previous prime is 4121412083. The next prime is 4121412101. The reversal of 4121412100 is 12141214.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 3863616964 + 257795136 = 62158^2 + 16056^2 .

It is not an unprimeable number, because it can be changed into a prime (4121412101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13001142 + ... + 13001458.

It is an arithmetic number, because the mean of its divisors is an integer number (68511457).

Almost surely, 2^4121412100 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 4121412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932824904).

4121412100 is an abundant number, since it is smaller than the sum of its proper divisors (5744237708).

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

4121412100 is a wasteful number, since it uses less digits than its factorization.

4121412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4121412100 is about 64198.2250533455. The cubic root of 4121412100 is about 1603.3020477997.

Adding to 4121412100 its reverse (12141214), we get a palindrome (4133553314).

It can be divided in two parts, 4121 and 412100, that multiplied together give a square (1698264100 = 41210²).

The spelling of 4121412100 in words is "four billion, one hundred twenty-one million, four hundred twelve thousand, one hundred".