122033414041 has 16 divisors (see below), whose sum is σ = 152180956800. Its totient is φ = 95068846080.

The previous prime is 122033413987. The next prime is 122033414047. The reversal of 122033414041 is 140414330221.

It is a cyclic number.

It is not a de Polignac number, because 122033414041 - 2¹⁹ = 122032889753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122033413997 and 122033414015.

It is not an unprimeable number, because it can be changed into a prime (122033414047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152665 + ... + 517081.

It is an arithmetic number, because the mean of its divisors is an integer number (9511309800).

Almost surely, 2^122033414041 is an apocalyptic number.

122033414041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122033414041 is a deficient number, since it is larger than the sum of its proper divisors (30147542759).

122033414041 is a wasteful number, since it uses less digits than its factorization.

122033414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368784.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 122033414041 its reverse (140414330221), we get a palindrome (262447744262).

The spelling of 122033414041 in words is "one hundred twenty-two billion, thirty-three million, four hundred fourteen thousand, forty-one".