122331153205341 has 12 divisors (see below), whose sum is σ = 178829476975968. Its totient is φ = 80571522592584.

The previous prime is 122331153205309. The next prime is 122331153205379. The reversal of 122331153205341 is 143502351133221.

122331153205341 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 115 + 3 + 2 + 0 + 534 + 1 = 666.

122331153205341 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122331153205341 - 2⁵ = 122331153205309 is a prime.

It is a super-2 number, since 2×122331153205341² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122331153205296 and 122331153205305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122331153205241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81881627905 + ... + 81881629398.

It is an arithmetic number, because the mean of its divisors is an integer number (14902456414664).

Almost surely, 2^{122331153205341} is an apocalyptic number.

It is an amenable number.

122331153205341 is a deficient number, since it is larger than the sum of its proper divisors (56498323770627).

122331153205341 is a wasteful number, since it uses less digits than its factorization.

122331153205341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163763257392 (or 163763257389 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 122331153205341 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred fifty-three million, two hundred five thousand, three hundred forty-one".