122033856 has 224 divisors, whose sum is σ = 397946880. Its totient is φ = 32256000.

The previous prime is 122033839. The next prime is 122033861. The reversal of 122033856 is 658330221.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1208206 + ... + 1208306.

Almost surely, 2^122033856 is an apocalyptic number.

122033856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198973440).

122033856 is an abundant number, since it is smaller than the sum of its proper divisors (275913024).

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

122033856 is a wasteful number, since it uses less digits than its factorization.

122033856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 122033856 is about 11046.8934999845. The cubic root of 122033856 is about 496.0134404960.

The spelling of 122033856 in words is "one hundred twenty-two million, thirty-three thousand, eight hundred fifty-six".