122044320 has 288 divisors, whose sum is σ = 447999552. Its totient is φ = 31352832.

The previous prime is 122044313. The next prime is 122044367. The reversal of 122044320 is 23440221.

122044320 is a `hidden beast` number, since 1 + 220 + 443 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 122044293 and 122044302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671804 + ... + 1671876.

It is an arithmetic number, because the mean of its divisors is an integer number (1555554).

Almost surely, 2^122044320 is an apocalyptic number.

122044320 is a gapful number since it is divisible by the number (10) 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 122044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223999776).

122044320 is an abundant number, since it is smaller than the sum of its proper divisors (325955232).

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

122044320 is an equidigital number, since it uses as much as digits as its factorization.

122044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122044320 is about 11047.3671071437. The cubic root of 122044320 is about 496.0276172621.

Adding to 122044320 its reverse (23440221), we get a palindrome (145484541).

The spelling of 122044320 in words is "one hundred twenty-two million, forty-four thousand, three hundred twenty".