122066264736 has 192 divisors, whose sum is σ = 384583328640. Its totient is φ = 37444239360.

The previous prime is 122066264711. The next prime is 122066264753. The reversal of 122066264736 is 637462660221.

122066264736 is a `hidden beast` number, since 12 + 2 + 0 + 6 + 626 + 4 + 7 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122066264691 and 122066264700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3701376 + ... + 3734208.

It is an arithmetic number, because the mean of its divisors is an integer number (2003038170).

Almost surely, 2^122066264736 is an apocalyptic number.

122066264736 is a gapful number since it is divisible by the number (16) 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 122066264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192291664320).

122066264736 is an abundant number, since it is smaller than the sum of its proper divisors (262517063904).

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

122066264736 is a wasteful number, since it uses less digits than its factorization.

122066264736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33196 (or 33182 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 122066264736 in words is "one hundred twenty-two billion, sixty-six million, two hundred sixty-four thousand, seven hundred thirty-six".