122454016 has 64 divisors (see below), whose sum is σ = 254013660. Its totient is φ = 58982400.

The previous prime is 122453977. The next prime is 122454019. The reversal of 122454016 is 610454221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92160000 + 30294016 = 9600^2 + 5504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (122454019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1212366 + ... + 1212466.

Almost surely, 2^122454016 is an apocalyptic number.

122454016 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 122454016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127006830).

122454016 is an abundant number, since it is smaller than the sum of its proper divisors (131559644).

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

122454016 is an frugal number, since it uses more digits than its factorization.

122454016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 122454016 is about 11065.8942702341. The cubic root of 122454016 is about 496.5820430473.

It can be divided in two parts, 12245 and 4016, that added together give a palindrome (16261).

The spelling of 122454016 in words is "one hundred twenty-two million, four hundred fifty-four thousand, sixteen".