122265024 has 56 divisors (see below), whose sum is σ = 369710208. Its totient is φ = 34932480.

The previous prime is 122265007. The next prime is 122265041. The reversal of 122265024 is 420562221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122265007) and next prime (122265041).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 122264985 and 122265003.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44142 + ... + 46829.

It is an arithmetic number, because the mean of its divisors is an integer number (6601968).

Almost surely, 2^122265024 is an apocalyptic number.

122265024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122265024 is an abundant number, since it is smaller than the sum of its proper divisors (247445184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122265024 is an equidigital number, since it uses as much as digits as its factorization.

122265024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90993 (or 90983 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 122265024 is about 11057.3515816402. The cubic root of 122265024 is about 496.3264413670.

The spelling of 122265024 in words is "one hundred twenty-two million, two hundred sixty-five thousand, twenty-four".