122163769728 has 1280 divisors, whose sum is σ = 497629440000. Its totient is φ = 28725166080.

The previous prime is 122163769697. The next prime is 122163769787. The reversal of 122163769728 is 827967361221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 819890998 + ... + 819891146.

It is an arithmetic number, because the mean of its divisors is an integer number (388773000).

Almost surely, 2^122163769728 is an apocalyptic number.

122163769728 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 122163769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720000).

122163769728 is an abundant number, since it is smaller than the sum of its proper divisors (375465670272).

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

122163769728 is a wasteful number, since it uses less digits than its factorization.

122163769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 122163769728 in words is "one hundred twenty-two billion, one hundred sixty-three million, seven hundred sixty-nine thousand, seven hundred twenty-eight".