122351355 has 48 divisors (see below), whose sum is σ = 255141120. Its totient is φ = 52985664.

The previous prime is 122351347. The next prime is 122351407. The reversal of 122351355 is 553153221.

It is a happy number.

It is not a de Polignac number, because 122351355 - 2³ = 122351347 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4237 + ... + 16206.

It is an arithmetic number, because the mean of its divisors is an integer number (5315440).

Almost surely, 2^122351355 is an apocalyptic number.

122351355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122351355 is an abundant number, since it is smaller than the sum of its proper divisors (132789765).

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

122351355 is a wasteful number, since it uses less digits than its factorization.

122351355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20480 (or 20477 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 122351355 is about 11061.2546756686. The cubic root of 122351355 is about 496.4432321316.

The spelling of 122351355 in words is "one hundred twenty-two million, three hundred fifty-one thousand, three hundred fifty-five".