122416847 has 24 divisors (see below), whose sum is σ = 151806960. Its totient is φ = 98085120.

The previous prime is 122416823. The next prime is 122416849. The reversal of 122416847 is 748614221.

It is not a de Polignac number, because 122416847 - 2¹⁶ = 122351311 is a prime.

It is a Duffinian number.

Its product of digits (21504) is a multiple of the sum of its prime divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122416849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148697 + ... + 149517.

It is an arithmetic number, because the mean of its divisors is an integer number (6325290).

Almost surely, 2^122416847 is an apocalyptic number.

122416847 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

122416847 is a deficient number, since it is larger than the sum of its proper divisors (29390113).

122416847 is a wasteful number, since it uses less digits than its factorization.

122416847 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 122416847 is about 11064.2147032675. The cubic root of 122416847 is about 496.5317947272.

The spelling of 122416847 in words is "one hundred twenty-two million, four hundred sixteen thousand, eight hundred forty-seven".