122226364744704 has 1386 divisors, whose sum is σ = 417285867692330. Its totient is φ = 35738884177920.

The previous prime is 122226364744669. The next prime is 122226364744711. The reversal of 122226364744704 is 407447463622221.

122226364744704 is a `hidden beast` number, since 1 + 2 + 22 + 26 + 3 + 64 + 74 + 470 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 54954348134400 + 67272016610304 = 7413120^2 + 8201952^2 .

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 (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 75964178652 + ... + 75964180260.

Almost surely, 2^{122226364744704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122226364744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208642933846165).

122226364744704 is an abundant number, since it is smaller than the sum of its proper divisors (295059502947626).

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

122226364744704 is an equidigital number, since it uses as much as digits as its factorization.

122226364744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 122226364744704 in words is "one hundred twenty-two trillion, two hundred twenty-six billion, three hundred sixty-four million, seven hundred forty-four thousand, seven hundred four".