122833960 has 32 divisors (see below), whose sum is σ = 276825600. Its totient is φ = 49053760.

The previous prime is 122833957. The next prime is 122833987. The reversal of 122833960 is 69338221.

It is a happy number.

It is a super-3 number, since 3×122833960³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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, 26625 + ... + 30895.

It is an arithmetic number, because the mean of its divisors is an integer number (8650800).

Almost surely, 2^122833960 is an apocalyptic number.

122833960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122833960 is an abundant number, since it is smaller than the sum of its proper divisors (153991640).

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

122833960 is a wasteful number, since it uses less digits than its factorization.

122833960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 122833960 is about 11083.0483171373. The cubic root of 122833960 is about 497.0951024913.

The spelling of 122833960 in words is "one hundred twenty-two million, eight hundred thirty-three thousand, nine hundred sixty".