122330041332135 has 384 divisors, whose sum is σ = 251840287641600. Its totient is φ = 49589125447680.

The previous prime is 122330041332067. The next prime is 122330041332157. The reversal of 122330041332135 is 531233140033221.

It is not a de Polignac number, because 122330041332135 - 2⁷ = 122330041332007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122330041332096 and 122330041332105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145804578046 + ... + 145804578884.

It is an arithmetic number, because the mean of its divisors is an integer number (655834082400).

Almost surely, 2^{122330041332135} is an apocalyptic number.

122330041332135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122330041332135 is an abundant number, since it is smaller than the sum of its proper divisors (129510246309465).

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

122330041332135 is a wasteful number, since it uses less digits than its factorization.

122330041332135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 122330041332135 its reverse (531233140033221), we get a palindrome (653563181365356).

The spelling of 122330041332135 in words is "one hundred twenty-two trillion, three hundred thirty billion, forty-one million, three hundred thirty-two thousand, one hundred thirty-five".