122416014 has 64 divisors (see below), whose sum is σ = 302400000. Its totient is φ = 32909184.

The previous prime is 122416013. The next prime is 122416033. The reversal of 122416014 is 410614221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122416013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33237 + ... + 36735.

It is an arithmetic number, because the mean of its divisors is an integer number (4725000).

Almost surely, 2^122416014 is an apocalyptic number.

122416014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122416014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

122416014 is an abundant number, since it is smaller than the sum of its proper divisors (179983986).

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

122416014 is a wasteful number, since it uses less digits than its factorization.

122416014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122416014 is about 11064.1770593208. The cubic root of 122416014 is about 496.5306684881.

The spelling of 122416014 in words is "one hundred twenty-two million, four hundred sixteen thousand, fourteen".