122833953 has 24 divisors (see below), whose sum is σ = 195349440. Its totient is φ = 73755360.

The previous prime is 122833943. The next prime is 122833957. The reversal of 122833953 is 359338221.

It is not a de Polignac number, because 122833953 - 2⁹ = 122833441 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (122833957) 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, 5100 + ... + 16482.

It is an arithmetic number, because the mean of its divisors is an integer number (8139560).

Almost surely, 2^122833953 is an apocalyptic number.

It is an amenable number.

122833953 is a deficient number, since it is larger than the sum of its proper divisors (72515487).

122833953 is a wasteful number, since it uses less digits than its factorization.

122833953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11506 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 122833953 is about 11083.0480013397. The cubic root of 122833953 is about 497.0950930486.

The spelling of 122833953 in words is "one hundred twenty-two million, eight hundred thirty-three thousand, nine hundred fifty-three".