122735405 has 16 divisors (see below), whose sum is σ = 159564720. Its totient is φ = 90627264.

The previous prime is 122735363. The next prime is 122735407. The reversal of 122735405 is 504537221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93973636 + 28761769 = 9694^2 + 5363^2 .

It is not a de Polignac number, because 122735405 - 2²⁶ = 55626541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122735407) 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, 5399 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (9972795).

Almost surely, 2^122735405 is an apocalyptic number.

It is an amenable number.

122735405 is a deficient number, since it is larger than the sum of its proper divisors (36829315).

122735405 is an equidigital number, since it uses as much as digits as its factorization.

122735405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11191 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 122735405 is about 11078.6012203707. The cubic root of 122735405 is about 496.9621199506.

The spelling of 122735405 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, four hundred five".