41133214122 has 256 divisors, whose sum is σ = 115935805440. Its totient is φ = 9377913600.

The previous prime is 41133214103. The next prime is 41133214159. The reversal of 41133214122 is 22141233114.

41133214122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41133214092 and 41133214101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26383579 + ... + 26385137.

It is an arithmetic number, because the mean of its divisors is an integer number (452874240).

Almost surely, 2^41133214122 is an apocalyptic number.

41133214122 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 41133214122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57967902720).

41133214122 is an abundant number, since it is smaller than the sum of its proper divisors (74802591318).

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

41133214122 is a wasteful number, since it uses less digits than its factorization.

41133214122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809.

The product of its digits is 1152, while the sum is 24.

Adding to 41133214122 its reverse (22141233114), we get a palindrome (63274447236).

It can be divided in two parts, 41133 and 214122, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 41133214122 in words is "forty-one billion, one hundred thirty-three million, two hundred fourteen thousand, one hundred twenty-two".