122167333216721 has 16 divisors (see below), whose sum is σ = 134727618153744. Its totient is φ = 110080477887744.

The previous prime is 122167333216657. The next prime is 122167333216757. The reversal of 122167333216721 is 127612333761221.

It can be written as a sum of positive squares in 8 ways, for example, as 33110081106496 + 89057252110225 = 5754136^2 + 9437015^2 .

It is not a de Polignac number, because 122167333216721 - 2⁶ = 122167333216657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122167333216121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449892386 + ... + 450163851.

It is an arithmetic number, because the mean of its divisors is an integer number (8420476134609).

Almost surely, 2^{122167333216721} is an apocalyptic number.

It is an amenable number.

122167333216721 is a deficient number, since it is larger than the sum of its proper divisors (12560284937023).

122167333216721 is a wasteful number, since it uses less digits than its factorization.

122167333216721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900056500.

The product of its digits is 762048, while the sum is 47.

Adding to 122167333216721 its reverse (127612333761221), we get a palindrome (249779666977942).

The spelling of 122167333216721 in words is "one hundred twenty-two trillion, one hundred sixty-seven billion, three hundred thirty-three million, two hundred sixteen thousand, seven hundred twenty-one".