122435145 has 80 divisors (see below), whose sum is σ = 264147840. Its totient is φ = 53001216.

The previous prime is 122435123. The next prime is 122435167. The reversal of 122435145 is 541534221.

It is an interprime number because it is at equal distance from previous prime (122435123) and next prime (122435167).

It is not a de Polignac number, because 122435145 - 2⁹ = 122434633 is a prime.

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

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 52729 + ... + 55001.

It is an arithmetic number, because the mean of its divisors is an integer number (3301848).

Almost surely, 2^122435145 is an apocalyptic number.

122435145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122435145 is an abundant number, since it is smaller than the sum of its proper divisors (141712695).

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

122435145 is a wasteful number, since it uses less digits than its factorization.

122435145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2307 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 122435145 is about 11065.0415724479. The cubic root of 122435145 is about 496.5565328423.

Adding to 122435145 its reverse (541534221), we get a palindrome (663969366).

The spelling of 122435145 in words is "one hundred twenty-two million, four hundred thirty-five thousand, one hundred forty-five".