122634016 has 48 divisors (see below), whose sum is σ = 250967808. Its totient is φ = 58924800.

The previous prime is 122634013. The next prime is 122634019. The reversal of 122634016 is 610436221.

It is an interprime number because it is at equal distance from previous prime (122634013) and next prime (122634019).

It is not an unprimeable number, because it can be changed into a prime (122634013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179211 + ... + 179893.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^122634016 is an apocalyptic number.

122634016 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 122634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

122634016 is an abundant number, since it is smaller than the sum of its proper divisors (128333792).

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

122634016 is a wasteful number, since it uses less digits than its factorization.

122634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 122634016 is about 11074.0243814071. The cubic root of 122634016 is about 496.8252391184.

The spelling of 122634016 in words is "one hundred twenty-two million, six hundred thirty-four thousand, sixteen".