122833152 has 144 divisors (see below), whose sum is σ = 391466880. Its totient is φ = 37767168.

The previous prime is 122833141. The next prime is 122833153. The reversal of 122833152 is 251338221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122833153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89173 + ... + 90539.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^122833152 is an apocalyptic number.

122833152 is a gapful number since it is divisible by the number (12) 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 122833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195733440).

122833152 is an abundant number, since it is smaller than the sum of its proper divisors (268633728).

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

122833152 is a wasteful number, since it uses less digits than its factorization.

122833152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1385 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 122833152 is about 11083.0118650121. The cubic root of 122833152 is about 497.0940125275.

The spelling of 122833152 in words is "one hundred twenty-two million, eight hundred thirty-three thousand, one hundred fifty-two".