122435292168 has 324 divisors, whose sum is σ = 397816420365. Its totient is φ = 33918587136.

The previous prime is 122435292167. The next prime is 122435292233. The reversal of 122435292168 is 861292534221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122435292168 is a `hidden beast` number, since 1 + 2 + 2 + 43 + 529 + 21 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121492679364 + 942612804 = 348558^2 + 30702^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247422.

It is a super-3 number, since 3×122435292168³ (a number of 34 digits) contains 333 as substring.

Its product of digits (414720) is a multiple of the sum of its prime divisors (192).

It is not an unprimeable number, because it can be changed into a prime (122435292163) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 893688196 + ... + 893688332.

Almost surely, 2^122435292168 is an apocalyptic number.

122435292168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122435292168

122435292168 is an abundant number, since it is smaller than the sum of its proper divisors (275381128197).

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

122435292168 is a wasteful number, since it uses less digits than its factorization.

122435292168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 192 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 122435292168 in words is "one hundred twenty-two billion, four hundred thirty-five million, two hundred ninety-two thousand, one hundred sixty-eight".