122405472 has 192 divisors, whose sum is σ = 419811840. Its totient is φ = 33965568.

The previous prime is 122405447. The next prime is 122405501. The reversal of 122405472 is 274504221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223503 + ... + 224049.

It is an arithmetic number, because the mean of its divisors is an integer number (2186520).

Almost surely, 2^122405472 is an apocalyptic number.

122405472 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 122405472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209905920).

122405472 is an abundant number, since it is smaller than the sum of its proper divisors (297406368).

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

122405472 is a wasteful number, since it uses less digits than its factorization.

122405472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 122405472 is about 11063.7006467095. The cubic root of 122405472 is about 496.5164149701.

Adding to 122405472 its reverse (274504221), we get a palindrome (396909693).

The spelling of 122405472 in words is "one hundred twenty-two million, four hundred five thousand, four hundred seventy-two".