122435042234351 has 64 divisors (see below), whose sum is σ = 166067888532480. Its totient is φ = 87326096578560.

The previous prime is 122435042234293. The next prime is 122435042234363. The reversal of 122435042234351 is 153432240534221.

It is not a de Polignac number, because 122435042234351 - 2¹⁸ = 122435041972207 is a prime.

It is a super-2 number, since 2×122435042234351² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122435042234299 and 122435042234308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122435042231351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108071705 + ... + 109198733.

It is an arithmetic number, because the mean of its divisors is an integer number (2594810758320).

Almost surely, 2^{122435042234351} is an apocalyptic number.

122435042234351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122435042234351 is a deficient number, since it is larger than the sum of its proper divisors (43632846298129).

122435042234351 is a wasteful number, since it uses less digits than its factorization.

122435042234351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129344.

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 122435042234351 its reverse (153432240534221), we get a palindrome (275867282768572).

The spelling of 122435042234351 in words is "one hundred twenty-two trillion, four hundred thirty-five billion, forty-two million, two hundred thirty-four thousand, three hundred fifty-one".