122167641 has 8 divisors (see below), whose sum is σ = 165184704. Its totient is φ = 80297840.

The previous prime is 122167631. The next prime is 122167657. The reversal of 122167641 is 146761221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122167641 - 2⁵ = 122167609 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122167599 and 122167608.

It is not an unprimeable number, because it can be changed into a prime (122167631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286566 + ... + 286991.

It is an arithmetic number, because the mean of its divisors is an integer number (20648088).

Almost surely, 2^122167641 is an apocalyptic number.

It is an amenable number.

122167641 is a deficient number, since it is larger than the sum of its proper divisors (43017063).

122167641 is an equidigital number, since it uses as much as digits as its factorization.

122167641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573631.

The product of its digits is 4032, while the sum is 30.

The square root of 122167641 is about 11052.9471635397. The cubic root of 122167641 is about 496.1946331731.

The spelling of 122167641 in words is "one hundred twenty-two million, one hundred sixty-seven thousand, six hundred forty-one".