122257733 has 8 divisors (see below), whose sum is σ = 133020888. Its totient is φ = 111688704.

The previous prime is 122257721. The next prime is 122257741. The reversal of 122257733 is 337752221.

It can be written as a sum of positive squares in 4 ways, for example, as 18258529 + 103999204 = 4273^2 + 10198^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122257733 - 2²⁶ = 55148869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122257733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122257703) 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 7 ways as a sum of consecutive naturals, for example, 47216 + ... + 49737.

It is an arithmetic number, because the mean of its divisors is an integer number (16627611).

Almost surely, 2^122257733 is an apocalyptic number.

122257733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122257733 is a deficient number, since it is larger than the sum of its proper divisors (10763155).

122257733 is an equidigital number, since it uses as much as digits as its factorization.

122257733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97063.

The product of its digits is 17640, while the sum is 32.

The square root of 122257733 is about 11057.0218865660. The cubic root of 122257733 is about 496.3165754002.

The spelling of 122257733 in words is "one hundred twenty-two million, two hundred fifty-seven thousand, seven hundred thirty-three".