122261523 has 24 divisors (see below), whose sum is σ = 175504320. Its totient is φ = 75497040.

The previous prime is 122261521. The next prime is 122261591. The reversal of 122261523 is 325162221.

It is not a de Polignac number, because 122261523 - 2¹ = 122261521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122261493 and 122261502.

It is not an unprimeable number, because it can be changed into a prime (122261521) 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 23 ways as a sum of consecutive naturals, for example, 125428 + ... + 126398.

It is an arithmetic number, because the mean of its divisors is an integer number (7312680).

Almost surely, 2^122261523 is an apocalyptic number.

122261523 is a deficient number, since it is larger than the sum of its proper divisors (53242797).

122261523 is an equidigital number, since it uses as much as digits as its factorization.

122261523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1040 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 122261523 is about 11057.1932695418. The cubic root of 122261523 is about 496.3217039657.

The spelling of 122261523 in words is "one hundred twenty-two million, two hundred sixty-one thousand, five hundred twenty-three".