122177066354226 has 128 divisors (see below), whose sum is σ = 302258308423680. Its totient is φ = 36327614702400.

The previous prime is 122177066354219. The next prime is 122177066354281. The reversal of 122177066354226 is 622453660771221.

122177066354226 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 7 + 7 + 0 + 66 + 354 + 226 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10975141 + ... + 19099943.

It is an arithmetic number, because the mean of its divisors is an integer number (2361393034560).

Almost surely, 2^{122177066354226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122177066354226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151129154211840).

122177066354226 is an abundant number, since it is smaller than the sum of its proper divisors (180081242069454).

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

122177066354226 is a wasteful number, since it uses less digits than its factorization.

122177066354226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125549 (or 8125543 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 122177066354226 in words is "one hundred twenty-two trillion, one hundred seventy-seven billion, sixty-six million, three hundred fifty-four thousand, two hundred twenty-six".