122298029568 has 480 divisors, whose sum is σ = 428114598912. Its totient is φ = 33100185600.

The previous prime is 122298029561. The next prime is 122298029569. The reversal of 122298029568 is 865920892221.

It is a happy number.

122298029568 is a `hidden beast` number, since 1 + 2 + 2 + 298 + 0 + 295 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122298029561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20424271 + ... + 20430257.

Almost surely, 2^122298029568 is an apocalyptic number.

122298029568 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 122298029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214057299456).

122298029568 is an abundant number, since it is smaller than the sum of its proper divisors (305816569344).

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

122298029568 is a wasteful number, since it uses less digits than its factorization.

122298029568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 122298029568 in words is "one hundred twenty-two billion, two hundred ninety-eight million, twenty-nine thousand, five hundred sixty-eight".