122330035353141 has 192 divisors, whose sum is σ = 232190665334784. Its totient is φ = 60174062784000.

The previous prime is 122330035353121. The next prime is 122330035353151. The reversal of 122330035353141 is 141353530033221.

122330035353141 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 30 + 0 + 3 + 53 + 531 + 41 = 666.

It is not a de Polignac number, because 122330035353141 - 2⁵ = 122330035353109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122330035353096 and 122330035353105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330035353121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5419296531 + ... + 5419319103.

It is an arithmetic number, because the mean of its divisors is an integer number (1209326381952).

Almost surely, 2^{122330035353141} is an apocalyptic number.

122330035353141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122330035353141 is a deficient number, since it is larger than the sum of its proper divisors (109860629981643).

122330035353141 is a wasteful number, since it uses less digits than its factorization.

122330035353141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26024 (or 26021 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 122330035353141 its reverse (141353530033221), we get a palindrome (263683565386362).

The spelling of 122330035353141 in words is "one hundred twenty-two trillion, three hundred thirty billion, thirty-five million, three hundred fifty-three thousand, one hundred forty-one".