122509905 has 32 divisors (see below), whose sum is σ = 237199104. Its totient is φ = 52709376.

The previous prime is 122509903. The next prime is 122509979. The reversal of 122509905 is 509905221.

It is not a de Polignac number, because 122509905 - 2¹ = 122509903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122509903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32532 + ... + 36101.

It is an arithmetic number, because the mean of its divisors is an integer number (7412472).

Almost surely, 2^122509905 is an apocalyptic number.

122509905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122509905 is a deficient number, since it is larger than the sum of its proper divisors (114689199).

122509905 is a wasteful number, since it uses less digits than its factorization.

122509905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68665.

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 122509905 is about 11068.4192638335. The cubic root of 122509905 is about 496.6575795724.

It can be divided in two parts, 12250 and 9905, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 122509905 in words is "one hundred twenty-two million, five hundred nine thousand, nine hundred five".