122735601 has 16 divisors (see below), whose sum is σ = 182001600. Its totient is φ = 81746784.

The previous prime is 122735593. The next prime is 122735633. The reversal of 122735601 is 106537221.

It is a happy number.

122735601 is a `hidden beast` number, since 1 + 2 + 27 + 35 + 601 = 666.

It is not a de Polignac number, because 122735601 - 2³ = 122735593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122735671) 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, 52285 + ... + 54581.

It is an arithmetic number, because the mean of its divisors is an integer number (11375100).

Almost surely, 2^122735601 is an apocalyptic number.

It is an amenable number.

122735601 is a deficient number, since it is larger than the sum of its proper divisors (59265999).

122735601 is a wasteful number, since it uses less digits than its factorization.

122735601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 122735601 is about 11078.6100662493. The cubic root of 122735601 is about 496.9623844886.

The spelling of 122735601 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, six hundred one".