122845632 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 31629312.

The previous prime is 122845627. The next prime is 122845633. The reversal of 122845632 is 236548221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122845593 and 122845602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122845633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380244 + ... + 1380332.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^122845632 is an apocalyptic number.

122845632 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 122845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

122845632 is an abundant number, since it is smaller than the sum of its proper divisors (286805568).

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

122845632 is a wasteful number, since it uses less digits than its factorization.

122845632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 122845632 is about 11083.5748745610. The cubic root of 122845632 is about 497.1108470793.

The spelling of 122845632 in words is "one hundred twenty-two million, eight hundred forty-five thousand, six hundred thirty-two".