41022010121312 has 192 divisors, whose sum is σ = 88873995184128. Its totient is φ = 18484346880000.

The previous prime is 41022010121273. The next prime is 41022010121329. The reversal of 41022010121312 is 21312101022014.

41022010121312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25622741312 + ... + 25622742912.

It is an arithmetic number, because the mean of its divisors is an integer number (462885391584).

Almost surely, 2^{41022010121312} 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 41022010121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44436997592064).

41022010121312 is an abundant number, since it is smaller than the sum of its proper divisors (47851985062816).

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

41022010121312 is a wasteful number, since it uses less digits than its factorization.

41022010121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 41022010121312 its reverse (21312101022014), we get a palindrome (62334111143326).

The spelling of 41022010121312 in words is "forty-one trillion, twenty-two billion, ten million, one hundred twenty-one thousand, three hundred twelve".