4211121330 has 192 divisors, whose sum is σ = 12257088480. Its totient is φ = 996323328.

The previous prime is 4211121287. The next prime is 4211121347. The reversal of 4211121330 is 331211124.

4211121330 is a `hidden beast` number, since 4 + 211 + 121 + 330 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1040643081 + 3170478249 = 32259^2 + 56307^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3852264 + ... + 3853356.

Almost surely, 2^4211121330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128544240).

4211121330 is an abundant number, since it is smaller than the sum of its proper divisors (8045967150).

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

4211121330 is a wasteful number, since it uses less digits than its factorization.

4211121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4211121330 is about 64893.1531827511. The cubic root of 4211121330 is about 1614.8514760198.

Adding to 4211121330 its reverse (331211124), we get a palindrome (4542332454).

The spelling of 4211121330 in words is "four billion, two hundred eleven million, one hundred twenty-one thousand, three hundred thirty".