122402016 has 216 divisors, whose sum is σ = 401748984. Its totient is φ = 36391680.

The previous prime is 122402003. The next prime is 122402017. The reversal of 122402016 is 610204221.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122402016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122402017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2309446 + ... + 2309498.

It is an arithmetic number, because the mean of its divisors is an integer number (1859949).

Almost surely, 2^122402016 is an apocalyptic number.

122402016 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 122402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200874492).

122402016 is an abundant number, since it is smaller than the sum of its proper divisors (279346968).

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

122402016 is an frugal number, since it uses more digits than its factorization.

122402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122402016 is about 11063.5444591686. The cubic root of 122402016 is about 496.5117420394.

Adding to 122402016 its reverse (610204221), we get a palindrome (732606237).

The spelling of 122402016 in words is "one hundred twenty-two million, four hundred two thousand, sixteen".