122114601 has 64 divisors (see below), whose sum is σ = 215654400. Its totient is φ = 66849408.

The previous prime is 122114593. The next prime is 122114609. The reversal of 122114601 is 106411221.

It is an interprime number because it is at equal distance from previous prime (122114593) and next prime (122114609).

It is not a de Polignac number, because 122114601 - 2³ = 122114593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122114609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 523981 + ... + 524213.

It is an arithmetic number, because the mean of its divisors is an integer number (3369600).

Almost surely, 2^122114601 is an apocalyptic number.

It is an amenable number.

122114601 is a deficient number, since it is larger than the sum of its proper divisors (93539799).

122114601 is a wasteful number, since it uses less digits than its factorization.

122114601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 122114601 is about 11050.5475429953. The cubic root of 122114601 is about 496.1228139014.

Adding to 122114601 its reverse (106411221), we get a palindrome (228525822).

The spelling of 122114601 in words is "one hundred twenty-two million, one hundred fourteen thousand, six hundred one".